# 3D vector magnitude Calculators

# 3D vector magnitude Calculators

A 3D vector magnitude calculator is used to calculate the magnitude or length of a 3D vector. The magnitude of a 3D vector is the square root of the sum of the squares of its three components. The formula to calculate the magnitude of a 3D vector with components (x,y,z) is:

**|v| = √(x^2 + y^2 + z^2)**

where |v| represents the magnitude of the vector.

For example, suppose you have a vector with components (3, -4, 5). Then the magnitude of the vector is:

**|v| = √(3^2 + (-4)^2 + 5^2) = √(9 + 16 + 25) = √50**

Therefore, the magnitude (or length) of the vector with components (3, -4, 5) is √50 units.

## 3D vector magnitude

The magnitude of a 3D vector is the length or size of the vector in three-dimensional space. It can be calculated using the following formula:

**|v| = sqrt(x^2 + y^2 + z^2)**

where |v| represents the magnitude of the vector, x, y, and z represent the respective components of the vector in the x, y, and z directions, and sqrt is the square root function.

For example, if we have a vector v = (3, -4, 5), we can calculate its magnitude as follows:

**|v| = sqrt(3^2 + (-4)^2 + 5^2) = sqrt(9 + 16 + 25) = sqrt(50) = 7.07 (rounded to two decimal places)**

Therefore, the magnitude of the vector v is approximately 7.07.