|| PROBLEM#1 FROM COMPONENTS OF A VECTOR IN TWO DIMENSIONS || BY PROF. SK SINHA ||

COMPONENTS OF A VECTOR IN TWO DIMENSIONS :

(INTRODUCTION)
One way to represent a two-dimensional vector is with vector components, which simply tell you how far the vector goes in each direction. ... For a two-dimensional vector, the magnitude is equal to the length of the hypotenuse of a triangle in which the sides are the x- and y-components.

OR

Two-Dimensional Vectors:

One way to represent a two-dimensional vector is with vector components, which simply tell you how far the vector goes in each direction. For example, a vector with an x-component of 4 and a y-component of 3 that started at the origin would end at coordinates (4,3).

The magnitude of a vector is the total amount of the quantity represented by the vector. For a two-dimensional vector, the magnitude is equal to the length of the hypotenuse of a triangle in which the sides are the x- and y-components. Therefore, if you know the two components of the vector and want to find the magnitude, you can use the Pythagorean Theorem. You can also use the tangent function to find the angle that the vector makes with the x-axis. For the vector shown here, the magnitude would be 5, and the angle it makes with the x-axis would be 37 degrees.


What is a component of a two dimensional vector?

A vector is defined by its magnitude and its orientation with respect to a set of coordinates. It is often useful in analyzing vectors to break them into their component parts. For two-dimensional vectors, these components are horizontal and vertical.


URL OF LECTURE NO. 2-1

(VECTOR ALGEBRA)

"COMPONENTS OF A VECTOR IN TWO DIMENSIONS"

2. || COMPONENTS OF A VECTOR IN TWO DIMENSIONS

|| BY PROF. SK SINHA ||




1. || PROVE THAT TWO VECTORS ARE EQUAL iff THE COMPONENTS ALONG
THE X & Y AXIS ARE EQUAL || BY SK SINHA ||


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