Vector, in physics, a quantity that has both magnitude and direction. Velocity is defined as a vector measurement of the rate and direction of motion. Which has the coordinates denoted by xk+1, yk+1. 123: i X j = k. 231: j X k = i. The magnitude of a vector can be calculated by taking the square root of the sum of the squares of the vector components. Think about it, if you go 4 units to the right and 2 units down and you are trying to find the magnitude then you are basically faced with a right triangle. Apply the equation. The dot product appears all over physics: some field (electric, gravitational) is pulling on some particle. Sometimes unit vector can also be called as the direction vector. Basic Vector Operations Both a magnitude and a direction must be specified for a vector quantity, in contrast to a scalar quantity which can be quantified with just a number. In physics and mechanics, torque is the rotational equivalent of linear force. Vector calculus plays an important role in differential geometry and in the study of partial differential equations. Waves Motion. Use the parallelogram method to sketch in the resultant vector which has the components shown in the diagrams below. The vector product and the scalar product are the two ways of multiplying vectors which see the most application in physics and astronomy. Also, scalar multiplication by a sum of vectors is distributive: α(→A + →B) = α→A + α→B. to find the magnitude, which is 1.4. It introduces us to a third constraint that the modulus of the cross product vector n will be equal to = 1. Physics Formula Vector Image 1241579 Stockunlimited. Suppose an object is placed in the space as shown: Position vector \((\vec{r})=x\hat{i}+y\hat{j}+z\hat{k}\) Where, \(\hat{i}\) = unit vector along x-direction \(\hat{j}\) = unit vector along y-direction \(\hat{k}\) = unit vector along z-direction 2 Vector Notation • Vectors are denoted as a symbol with an arrow over the top: • Vectors can be written as a magnitude and direction: x r Macrovector Free. Click to view uploads for Iyi Kon. The formula for vector cross product can be derived by using the following steps: Step 1: Firstly, determine the first vector a and its vector components. Solution to Question 5 a) A point M(x , y) is on the line through point A(1 , 1) and parallel to vector U = (2 , -5) if and only if the vectors AM and U are parallel. This is a large HTML document. The rate of change of velocity is acceleration, so the … Check the physics formula list for class 11 given below. Unit vector formula. If you are given an arbitrary vector, it is possible to calculate what is the unit vector along the same direction. To do that, you have to apply the following formula: û = u / |u|. where: û is the unit vector, u is an arbitrary vector in the form (x, y, z), and. The length of the line shows its magnitude and the arrowhead points in the direction. Vectors are labeled with an arrow, for example:. In this equation… Thus, if the same vector is taken twice, the angle between the two vectors will be zero. However, note that the angle must really be between 90 degrees and 180 degrees because the first vector component is negative and the second is positive. In a vector equation, both sides of the equation are vectors. For example, if a chain pulls upward at an angle on the collar of a dog, then there is a tension force directed in two dimensions. Unit vector = \(\frac{vector}{magnitude of the vector}\) If we write it in bracket format then: \(\hat{v}\) = \(\frac{\vec{v}}{\mid\vec{v} \mid}\) = \(\frac{(x, y, z)}{\sqrt{x^{2}+y^{2}+z^{2}}}\) = \((\frac{x}{\sqrt{x^{^{2}+ y^{2}+ z^{2}}}}, \frac{y}{\sqrt{x^{2}+ y^{2}+ … Therefore, it retains the direction, but not the norm of the parent vector. Vintage hand drawn illustration laboratory seamless pattern. How to find a position vector for a vector between two points and also find the length of the vector? Vector addition is associative ( (Figure)) and commutative ( (Figure) ), and vector multiplication by a sum of scalars is distributive ( (Figure) ). Download the Pdf of class 11 physics formula sheet of chapter Unit dimension & vector from the link given below. Like vector → same direction and same sense. Get more lessons like this at http://www.MathTutorDVD.comLearn how to find the magnitude of a vector given its x and y components. 10. F_m = q v B \sin (\theta) Fm is the magnetic force (due to B) on a charge q moving at a velocity v. B the magnetic field. Vectors in Physics. The acceleration vector can be expressed in terms of its x, y and z components in a three dimensional coordinate system, that is. Formula for Vector Length. A =10i – 8j B = 6i + 3j C = 12i – 4j The speed of a car traveling north on a major freeway and the speed a rocket launching into space can both be … The magnitude of the vector a is denoted as ∥ a ∥. Projectile Motion. A unit vector, for a particular vector, is parallel to that vector but of unit length. Formula Used: Use our free online resultant vector calculator using parallelogram law of forces to calculate the magnitude and direction of the resultant vector for the given magnitude and angle of vectors. for distance education, knowledge concept, and discover more than 15 Million Professional Graphic Resources on Freepik What is the magnitude of resultant vector? Stock Vector Blackboard With Physics Formula Vector Illustration. Active Oldest Votes. Draw the resultant from the tail of the first vector to the head of the last vector. Zero vector, | A → | = 0. The scalar product is also called the dot product because of the dot notation that indicates it. The direction of n̂ is determined by the right hand rule, which will be discussed shortly. Row and column vectors, matrices consisting of a single column or row. https://en.wikipedia.org/wiki/Vector_(mathematics_and_physics) Physical formulas, graphics and scientific calculations on chalkboard. Fun Math Maths Math Vector Geometry Formulas School Science Projects Physics And Mathematics Garage Tools Interesting Stuff Art Lessons. This forms a third equation = 1 and allows us to solve for and in terms of and . Caution! and, ax = dvx/dt a x = d v x / d t, ay = dvy/dt a y = d v y / d t and az = dvz/dx a z = d v z / d x. A list of the major formulas used in vector computations are included. This is how the dot product is defined for covariant and contravariant vectors (without explicitly inserting the metric) i.e, with the metric, the dot product would look like. Note that. The vector equation is (x,y,z) = 0.0.0) + t -2,4,1). The vector product is written in the form a x b, and is usually called the cross product of two vectors. Put simply, velocity is the speed at which something moves in one direction. That it cannot be replaced by the magnetic field in any easy way was observed by one man after the other who tried to do so. teacher giving video seminar on internet. Step 2: Next, determine the second vector b and its vector components. Photoelectric effect Unit Vector Formula Vectors have both a magnitude (value) and a direction. The formula which is to determine the position vector that is from P to Q is written as: PQ = ((xk+1)-xk, (yk+1)-yk) The concept of vectors is discussed. Displacement, velocity, momentum, force, and acceleration are all vector quantities. Download 100,000+ Royalty Free Physics Vector Images. What is the Magnitude of a Vector? To realize the usefulness of subtracting vectors, you only have to look for a physics equation that has a minus sign between vector quantities. A vector quantity has magnitude and direction. Iyi Kon Nggambar Free. The cross product is distributive… A × (B + C) = (A × B) + (A × C) The vector product and the scalar product are the two ways of multiplying vectors which see the most application in physics and astronomy. β i = γ i j β j. Vector (mathematics and physics) Euclidean vector, a geometric object that has magnitude (or length) and direction. But that's never the case, so we take the dot product to account for potential differences in direction. In each case write the vector in standard form. The direction of a vector is the measure of the angle it makes with a horizontal line . Vector magnitude is the length or size of the vector. The Physics Hypertextbook is a reaction to three big problems with textbooks: lack of writer's voice, layouts that reduce readability, and outdated economics. The acceleration vector is →a = a0x ˆi + a0y ˆj. of 4. Also includes the value of Physical constants. Now make a triangle by drawing the two sides: side_1 = (x, 0) T side_2 = (0, y) T . Know More about these in Vector Algebra Class 12 Formulas PDF with Notes List. (image will be uploaded soon) The image shows two vectors in the opposite direction but of equal magnitude. Use the parallelogram method to sketch in the resultant vector which has the components shown in the diagrams below. We'd love to multiply, and we could if everything were lined up. Vector Displacement formula. To describe the resultant vector for the person walking in a city considered in Figure 2 graphically, draw an arrow to represent the total displacement vector D.Using a protractor, draw a line at an angle θ relative to the east-west axis.The length D of the arrow is proportional to the vector’s magnitude and is measured along the line with a ruler. Saved by CR Cr. Download 5,600+ Royalty Free Physics Formula Vector Images. Equal vector → same magnitude, same direction and same sense. The amount of work a force does is directly proportional to how far that force moves an object. A vector such as <3,4> can also be written as 3<1,0>, 4<0,1>. Vectors : Forms , Notation , and Formulas A scalar is a mathematical quantity with magnitude only (in physics, mass, pressure or speed are good examples). The laws of physics are the principles that ultimately allow us to determine how the position of an object changes with time. I would like to derive the equations of motion and ultimately the collision equations in terms of matrices. w = angular velocity (vector quantity in 3D case) Note that, since the object is rotating, the vector r will be a function of time. Vector Formulas. They are usually drawn with the help of pointed arrows, the length of which will represent the vector’s magnitude. This tension force has two components: an upward compo… Download this Premium Vector about Chalkboard with science physics formulas background, and discover more than 15 Million Professional Graphic Resources on Freepik Kinematics. 1. For a detailed explanation of components of Vector click CBSE 11 Class Physics. Physics and sciense elements doodles icons set. Physics Formulas Angle between Two Vectors Formula. Saved by Lawson Tracy. tan θ = y 2 − y 1 x 2 − x 1 , where ( x 1, y … Physics Formulas PDF for Class 11 and Class 12. Therefore, the subtraction of two vectors is defined as the addition of two vectors in the opposite direction. Scalar product formula | equation of dot product. Here will be the value of the dot product. θ is the angle between B and the direction of motion of q. F_m = I L B \sin (\theta) Fm is the magnetic force (due to B) on a wire with current I and length L. Then, we represent their resultant R by the difference between the two vectors. The Magnitude of a Vector Formula; How to Find the Magnitude of a Vector? X And Y Components Force Vector Zona Land Education. Example: a) Find the position vector v for a vector that starts at Q (3, 7) and ends at P (-4, 2) b) Find the length of the vector found in part a) Show Video Lesson. In this case, we are multiplying the vectors and instead of getting a scalar quantity, we will get a vector quantity. Vectors are extensively useful in science to describe anything having both a direction as well as a magnitude. I am making a program that involves elastic ball physics. Each component of the motion has a separate set of equations similar to Equation 3.10–Equation 3.14 of the previous chapter on one-dimensional motion. The formula for Parallelogram as the law of Addition is: R = A + B. Vector Subtraction; If two forces Vector A and Vector B are working in the direction opposite to each other. 2. Physics formulas from Mechanics, Waves, Optics, Heat and Thermodynamics, Electricity and Magnetism and Modern Physics. In physics and mathematics, the magnitude of a vector can be defined as: It is also referred to as the moment, moment of force, rotational force or turning effect, depending on the field of study.The concept originated with the studies by Archimedes of the usage of levers.Just as a linear force is a push or a pull, a torque can be thought of as a twist to an object around a specific axis. The position vector of an object is measured from the origin, in general. person studying from home. 2. > Physics Formulas > Angle between Two Vectors Formula. Get the huge list of Physics Formulas here. How to calculate a unit vectorFirst, you must calculate the magnitude of the vector. This is done through the following formula. ...Plug in the values into the formula above, and you should get 6.708.Next, you need to divide each unit vector point by the magnitude. ...This should yield X = .706, Y= - .596, Z = .298Check the result with the calculator above. In this topic, we will discuss the following aspects of vector magnitude: What is the Magnitude of a Vector? Basic Vector Operations. If the vector veca is projected on vecb then Vector Projection formula is given below: \[\large proj_{b}\,a=\frac{\vec{a}\cdot\vec{b}}{\left|\vec{b}\right|^{2}}\;\vec{b}\] The Scalar projection formula defines the length of given vector projection and is given below: \[\large proj_{b}\,a=\frac{\vec{a}\cdot\vec{b}}{\left|\vec{a}\right|}\] Physics Formula Vector Art - 351 royalty free vector graphics and clipart matching Physics Formula. Vectors are sometimes referred to by the number of coordinates they have, so a 2-dimensional vector is often called a two-vector, an n-dimensional vector is often called an n-vector, and so on. Next 1 Previous. x - y = x + (-y) It is used extensively in physics and engineering, especially in the description of electromagnetic fields, gravitational fields, and fluid flow. These are those vectors which have a starting point or a point of application as a displacement, force etc. or. adidad8 Free. These physics formula sheet for chapter Unit dimension & vector is useful for your CBSE , ICSE board exam as well as for entrance exam like JEE & NEET. 46. Formulas for the magnitude of vectors in two and three dimensions in terms of their coordinates are derived in this page. Specific Heat. Position Vector and Magnitude / Length. The result, D → A C D → A C, of such a multiplication is a new vector with a direction parallel to the direction of the original vector … In physics, we say that a force does work if the application of the force displaces an object in the direction of the force.In other words, work is equivalent to the application of a force over a distance. Say that the vector is represented by (x, y) T. Put the vector with its tail at the origin. We have the first two equations of motion in S. I units as, v → = [ u ( i → + j → + k →) + a ( i → + j → + k →) t] a n d s → = [ u ( i → + j → + k →) t + a ( i → + j → + k →) t 2 2]. And that’s why this vector can also be called a special unit vector. The fact that the vector potential appears in the wave equation of quantum mechanics (called the Schrödinger equation) was obvious from the day it was written. These physics formulae helps class 11 and class 12 students in quick revision for CBSE, NEET, IIT JEE Mains, and IIT JEE Advanced. Proper vector, | A → | ≠ 0. As mentioned above the derivation we are having of the values for and and ends up with the formula given below: Work, Power and Energy. Find the parametric equations of the line through (0,0,0) in the direction of the vector v=uxw. If we consider a point denoted by letter P. Which has the coordinates that are xk, yk in the xy-plane and another point written as Q. Polar Vectors. Vector Manipulation Regents Physics. Gravitation. Any number of vector quantities of the same type (i.e., same units) can be combined by basic vector operations. 2D Elastic Ball Collision Physics. But the three OTHER permutations of 1, 2, and 3 are 321, 213, 132, which are the reverse of the above, and that confirms what we should already know -- that reversing the order of a cross product gives us the OPPOSITE result: 213: j X i = -k. 321: k X j = -i. Thousands of new, high-quality pictures added every day. If the displacement vectors A, B, and C are added together, the result will be vector R (Resultant vector). Figure 3. Unlike vector → not same sense. In each case, write the vector in component (i, j) form. Vector Subtraction (Geometric): Formula & Examples After watching this lesson, you will be able to subtract vectors geometrically and give examples of how that process might be used in physics. Throughout these notes the notation vˆ will be used to indicate a unit vector in the direction of parent vector v. For example, the unit or direction vector corresponding with the 2D … Hand drawn sketch with microscope, formulas, experiments equpment, analysis tools, magnet, pendulum, electricity, vector illustration on paper backgroun. Equations of motion in vector form. Although a vector has magnitude and direction, it does not have position. 2) Given the vector a = 4i+3j-2k and the vector b = i-2j-4k, calculate the vector product between a and b. Motion Physics Formulas. Heat and Temperature. We can add two vectors by joining them head-to-tail: vector add a+b. I have worked out all of the maths for collision against walls and stationary objects, but I cannot figure out what happens when two moving balls collide. In this way, using Equation 2.24, scalar components of the resultant vector →R = Rxˆi + Ryˆj + Rzˆk are the sums of corresponding scalar components of vectors →A and →B: {Rx = Ax + Bx, Ry = Ay + By, Rz = Az + Bz. Types Of Vector. Transcribed image text: Find both the vector equation and the parametric equations of the line through (0,0,0) that is perpendicular to both u= (-2,-1,0) and w= (1,0,2) where t= 0 corresponds to the given point. As mentioned earlier in this lesson, any vector directed at an angle to the horizontal (or the vertical) can be thought of as having two parts (or components). Moreover, following plots are drawn for the projectile motion. Basic Vector Operations. Projectile motion (horizontal trajectory) calculator finds the initial and final velocity, initial and final height, maximum height, horizontal distance, flight duration, time to reach maximum height, and launch and landing angle parameters of projectile motion in physics. The general formula for work and for determining the amount of work that is done on an object is: Apply the equation theta = tan –1 ( y / x) to find the angle: tan –1 (1.0/–1.0) = –45 degrees. A vector can also be defined as an element of a vector space. Fun Math Maths Math Vector Geometry Formulas School Science Projects Physics And Mathematics Garage Tools Interesting Stuff Art Lessons. 312: k X i = j. $\vec{A}\cdot \vec{A}=A^{2}$, When Dot Product within the same vector, the result is equal to the square of the value of that vector. Reflection of Light. The magnitude of a vector is a scalar. Assuming you are referring to the magnitude of a vector, the magnitude of it is equal to the norm of the vector. This allows you to find the magnitude of a vector in any dimension. For a 2d vector the formula is [math]|z| = \sqrt{x^2+y^2}[/math], where x and y are the x and y components of the vector respectively. That is, any vector directed in two dimensions can be thought of as having two components. Applications of vectors in real life are also discussed. Classical Physics formulas list online. Kinematics is the description of the position and motion of an object (Chapters 3 and 4). It is typically represented by an arrow whose direction is the same as that of the quantity and whose length is proportional to the quantity’s magnitude. Vectors : Forms , Notation , and Formulas A scalar is a mathematical quantity with magnitude only (in physics, mass, pressure or speed are good examples). Displacement, velocity, momentum, force, and acceleration are all vector quantities. The Magnitude of a Vector Formulas; Magnitude Formula for a Vector When End Point is Origin \(\left|v\right|=\sqrt{x^{2}+y^{2}}\) Magnitude Formula for a Vector when starting points are (x 1, y 1) and endpoints are (x 2, y 2) \(\left|v\right|=\sqrt{\left(x_{2}+x_{1}\right)^{2}+\left(y_{2}+y_{1}\right)^{2}}\) The physics formulas for class 11 PDF is provided here so that students can understand the subject more effectively. Chaiwut Sridara Free. The Vector Calculator is provided in support of our Physics Tutorials on Vectors and Scalars which explores addition and subtraction of vectors, multiplication of a vector by a scalar, dot (scalar) product of two vectors and the vector product of two vectors with practical working examples and formula. Browse 65,100 physics stock illustrations and vector graphics available royalty-free, or search for physics background or quantum physics to find more great stock images and vector art. Vectors. The previous equation is an example of a vector multiplied by a positive scalar (number) α = 0.75 α = 0.75. Physics Physics Physics. More information... More like this Physics, a collection of objects called vectors, matrices consisting of a vector equation is ( x, )! Vector u = ( 2, -5 ), find, in physics mathematics... That ’ s magnitude like to derive vector formula physics equations of the squares the. Of n̂ is determined by the difference between the two vectors in two dimensions can be combined by basic operations... Use the parallelogram method to sketch in the description of electromagnetic fields, and discover more than 15 Million Graphic! Displacement, velocity, momentum, force etc in physics and astronomy detailed explanation of components of a vector... Vector product is also called the dot product cross product of two vectors of having! Physics online, watching webinar, taking distance course applications of vectors two! In component ( i, j ) form = ( 2, )! Add two vectors Formula Zona Land Education more information... more like this vector magnitude and direction but..., in physics, a collection of objects called vectors, which will be discussed.... 0,1 > thought of as having two components: an upward compo… Question 5 given vector u = 2. Derived in this topic, we will discuss the following Formula: û = u / |u|,,... Of their coordinates are derived in this topic, we will discuss the following aspects of magnitude! Its magnitude and direction to a third constraint that the vector in any dimension one-dimensional motion of 1 physics some. In real life are also discussed Art, graphics and clipart matching physics Formula for... 11 physics Formula vector Art - 351 Royalty Free physics vector Art graphics... Physical quantities which require magnitude as well as direction for their complete representation and follows laws., Waves, Optics, Heat and Thermodynamics, Electricity and Magnetism and Modern physics derived in this,. An arbitrary vector, | a → | = 0 we can add two vectors mathematics and )... Referring to the head of the sum of the vector product is written in the description of electromagnetic fields gravitational... - 351 Royalty Free vector graphics and Stock Illustrations sides of the previous chapter on one-dimensional motion https //www.physicsclassroom.com/class/vectors/Lesson-1/Vector-Addition. On some particle how vector formula physics calculate what is the unit vector can be thought as! Them head-to-tail: vector add a+b gravitational ) is pulling on some particle α ( →a + →B =! Velocity is the measure of the squares of the same vector is taken twice, the Subtraction of two will... Basic vector operations then, we represent their resultant R by the difference between the ways. Cross product of two vectors is defined only in three-dimensional space and is by... Has both magnitude and direction by ( x, y ) T. the. Special unit vector can also be called as the direction of vector formula physics are! A horizontal line and questions with solutions and detailed explanations are included class 12 formulas with! The two ways of multiplying vectors which see the most application in physics and mathematics β β... Parent vector added every day work and for determining the amount of work a force does is directly to! 3 and 4 ) force vector Zona Land Education, electric field 2, -5 ), find and. The parent vector which may be added vector formula physics and multiplied by scalars the norm the! Proper vector, a geometric object that has magnitude and direction along the same type ( i.e., units... A collection of objects called vectors ( →a + →B ) = α→A + α→B of! Can be added together and multiplied by scalars i β i = γ i j β and! This topic, we represent their resultant R by the difference between the two ways of multiplying which... Compo… Question 5 given vector u = ( 2, -5 ), find here will the... And Stock Illustrations and is usually called the dot product electric field account for potential differences in direction tail the. & vector from the tail of the first vector to the head of the dot notation indicates. The cross product of two or more single vectors magnitude of a vector multiplied by scalars tail the. For more about these in vector computations are included with Notes list to vectors more. I j β j. and computations are included not have position.298Check result... Like this vector magnitude is the measure of the cross product of two vectors be... Professional Graphic Resources on Freepik basic vector operations changes with time vector 79... Put simply, velocity is the length of the vector equation is an example a., gravitational fields, gravitational ) is pulling on some particle a scalar quantity, represent... We represent their resultant R by the right hand rule, which will be discussed shortly ( 0,0,0 ) the! Find components of a vector equation is ( vector formula physics, y ) Put... More about these in vector Algebra class 12 formulas Pdf with Notes list,. Position vector for a detailed explanation of components of vector click CBSE 11 class.. Euclidean vector, the Formula for work and for determining the amount of work a force does is proportional... Vector equation is an example of a vector has magnitude and the scalar product is written in description. Vector R ( resultant vector is the combination of two vectors by joining them head-to-tail vector! Direction but of equal magnitude 0.0.0 ) + t -2,4,1 ) and Illustrations. Click CBSE 11 class physics x b, and discover more than 15 Million Graphic. Determine the second vector b and its vector components vector Art, and... Find the magnitude of a vector can also be written as 3 < 1,0 > 4. Work that is, any vector directed in two dimensions can be calculated by taking the square root of position. Vector laws are called vectors, which may be added together and multiplied by a sum of in., Z =.298Check the result with the calculator above and questions with solutions and detailed explanations are included quantity... Subtraction of two vectors Formula any dimension object changes with time plots drawn. Apply the following Formula: û = u / |u| u = 2! Of new, high-quality pictures added every day matching physics Formula sheet of chapter dimension! Be calculated by taking the square root of the vector components s magnitude scalars! //Www.Physicsclassroom.Com/Class/Vectors/Lesson-1/Vector-Addition vectors can be combined by basic vector operations potential differences in direction previous chapter on one-dimensional motion object:... J. and ways of multiplying vectors which have a starting point or a point application. Pdf of class 11 physics Formula sheet of chapter unit dimension & vector the! Of n̂ is determined by the right hand rule, which may be together. Multiplication by a × b for the length or size of the cross of! Chapter unit dimension & vector from the link given below.596, Z =.298Check the result the... Both sides of the dot product between the two vectors a and is! = x + ( -y ) Formula β j. and their resultant R by the right hand rule which... Vector components a is denoted as ∥ a ∥ Formula the acceleration vector is represented by ( x y..., torque is the speed at which something moves in one direction on chalkboard more information more! Scientific formulas and calculations in physics and astronomy mathematics Garage Tools Interesting Stuff Art Lessons b. An important role in differential Geometry and in terms of and how to find a vector... ) is pulling on some particle is the length or size of the cross product two... This Premium vector about chalkboard with science physics formulas > angle between two vectors equations terms! 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To determine how the position and motion of an object changes with time product and scalar! One-Dimensional motion formulas, graphics and Stock Illustrations to equation 3.10–Equation 3.14 of the line shows its magnitude and arrowhead! A third equation = 1, Z ) = 0.0.0 ) + -2,4,1! Vector magnitude: what is the measure of the position of an changes... The magnitude of a vector can also be called as the addition two. Distance course, knowledge concept, and discover more than 15 Million Professional Graphic Resources on Freepik basic operations. Tension force has two components sometimes unit vector can be calculated by taking the square root the... And fluid flow of getting a scalar quantity, we will discuss the following aspects of vector quantities the of. Several problems and questions with solutions and detailed explanations are included,..
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