Worksheet for Vector Magnitude

The vector magnitude is used to describe the length of physical quantities which have both a magnitude and a direction. The magnitude or length of a 2D or 3D vector is denoted by |A|. It is a scalar and must be non-negative. Any vector whose length 1 is called a unit vector; unit vectors will usually be denoted by e. The magnitude of a vector can be calculated by taking the square root of the sum of the squares of its components. This worksheet help you to understand how to calculate vector magnitude.

Example problem:
The 3D vector in the form A = 1i+2j+3k
√(1²+ 2²+ 3²) = 3.7416573867739413
The resultant vector magnitude Value is 3.742

When you try such calculations on your own, this vector magnitude calculator can be used to verify the results of your calculations.