Vector magnitude online calculator

Magnitude of the vector is equal to its length, which can be found using the formula:

formula for vector magnitude calculation

vectors coordinates

From the formula above follows that the length of the vector is the scalar always greater than or equal to zero.

Formula for vector magnitude calculation can be derived from the simple geometrical considerations:

derivation of the formula from geometry

Vectors coordinates are equal to its x and y 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 theorem.

Input vector dimension

Vector dimension
Vector vector A representations form:
Vector vector A = { }
Vector vector A: