What is Magnitude of a Vector?

Magnitude of a vector is the distance between the initial point and the final point of the vector. Suppose we are given a vector then the maginuted of the vector is the distance between point A and point B. The magnitude of the vector is written as, ||.

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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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What is the Direction of a Vector?

Direction of a vector is orientation of the vector in the 3-D space. Suppose we are given a vector from point A to B then the arrow in the direction from A to B shows the direction of the vector....

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....

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...

What is Magnitude of a Vector?

Magnitude of a vector is the distance between the initial point and the final point of the vector. Suppose we are given a vector then the maginuted of the vector is the distance between point A and point B. The magnitude of the vector is written as, ||....

Direction of a Vector Examples

Example 1: Calculate the direction of the vector if vertical displacement is 5 and horizontal displacement is 4....

Practice Questions on Directions of a Vector

Q1: Find the direction of the vector for the initial point (12, 3) and final point (5, 9)....

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