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

√(1^{2}+ 2^{2}+ 3^{2}) = 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.

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