Magnitude of the vector is equal to its length, which can be found by using the formula:
, where .
From the formula above follows, that the length of the vector is the scalar always greater than or equals to zero.
Formula for vector's magnitude calculation can be derived from the simple geometrical considerations:
Vector's coordinates are equal to its and components, therefore the length of the vector is the value of the hypotenuse of right-angled triangle, which can be found by using the Pythagorean's theorem.
Our online calculator is able to find vector's magnitude with step by step solution.