How to Find the Direction of a Vector?
Direction of a vector is easily find using the direction of the vector formula added above. Let’s understand with the help of an example
Example: What is the direction of a vector A (3, 2) and B (5, 6) with respect to its initial point.
Solution:
The coordinates of Vector AB is given as x = (5-3) and y = (6-2)
Hence, tan θ = (y/x) = (4/2) = 2
There θ = tan-1(2) = 63.435
Direction of a Vector Formula
A vector is formed when two distinct points are joined with each other. The point from which a line was drawn to the other point determines the direction of that vector. A vector’s direction is the angle formed by the vector with the horizontal axis, also known as the X-axis. It is provided by the counterclockwise rotation of the vector’s angle about its tail due east. In other words, the orientation of a vector, that is, the angle it makes with the x-axis, is defined as its direction.
In this article we will learn about, Direction of Vector Definition, Direction of Vector Formula, Magnitude of Vector, Examples, and others in detail.
Table of Content
- What is the Direction of a Vector?
- Direction of a Vector Formula
- How to Find the Direction of a Vector?
- What is Magnitude of a Vector?
- Direction of a Vector Examples
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