What is the Magnitude of a Vector?
Magnitude of a vector is defined as the length of the vector. As the magnitude of the vector denotes the length of the vector it is always positive. For any vector A its magnitude is represented as |A|. Suppose a vector is defined as xi + yj then its magnitude is defined as the square root of the sum of squares of the individual terms. The magnitude of the vector represents the length of the vector i.e. the value or impact the vector has.
For example, if a force of 5i N works on an object then its magnitude is 5 N which signifies that the strength of the force applied is 5 N, and ‘i’ in 5i represents that it is applied in the positive x direction.
Magnitude of a Vector
Vector quantities are the quantities that have both direction and magnitude. The magnitude of a vector is the length of the vector. It is given by the numeric value of the vector and as it represents the length of the vector so it is always positive. For any vector its magnitude is represented as .
Let’s learn more about the magnitude of the vector its formula, examples, and other in this article.
Table of Content
- What is the Magnitude of a Vector?
- Magnitude of a Vector Formula
- Direction of a Vector
- How to Find Magnitude of a Vector?
- Solved Examples