Processing math: 100%

Vector Length Calculator







Formula

The following formula is used to calculate a vector length:

|u|=x2+y2+z2

Vector Length Definition

A vector length is equivalent to a vector magnitude and is equal to the square root of the sum of the squares of each vector unit.

Example Calculation

Let's say we have a vector with coordinates (3, 4, 5). To find the length of this vector, we can use the formula:

|u|=32+42+52

Calculating the values:

|u|=9+16+25=507.07

Therefore, the length of the vector (3, 4, 5) is approximately 7.07 units.