Direction of a Vector Formula
The direction of a vector is denoted by the symbol θ. Its formula equals the inverse tangent of the ratio of the distance moved by the line along the y-axis to the distance moved along the x-axis. To put it another way, it is the inverse tangent of the slope of the line.
θ = tan-1(y/x)
where,
- θ is the Direction of Vector
- y is the Vertical Displacement
- x is the Horizontal Displacement
For a vector line with starting point (x1, y1) and final point (x2, y2), the direction is given by,
θ = tan-1 ((y2 – y1) / (x2 – x1))
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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