The following formula is used to calculate a vector length:
|u|=√x2+y2+z2
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.
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=√50≈7.07
Therefore, the length of the vector (3, 4, 5) is approximately 7.07 units.