Calculator Use

3-Dimensional Vector Magnitude(Length) Calculator is a free online tool that displays the Magnitude(Length) of a 3-Dimensional Vector. This online 3-Dimensional Vector Magnitude(Length) Calculator tool performs the calculation faster, and it displays the result in a fraction of seconds.

The procedure to use the 3-Dimensional Vector Magnitude(Length) Calculator is as follows:

Step 1: Enter a values in the input field

Step 2: Now click the "Calculate" button to get the result

Step 3: Finally, The Magnitude(Length) of a 3-Dimensional Vector will be displayed in the output field

How to calculate the Magnitude of a Vector in 3D?

Vector A = (a,b,c)

The magnitude of the Vector A:√(a^2+b^2+c^2）

How to calculate the Magnitude of a Vector?

The magnitude of a vector is the length of the vector.

For a two-dimensional vector a=(a1,a2), the formula for its magnitude is

√(a1^2+a2^2)

For a three-dimensional vector a=(a1,a2,a3), the formula for its magnitude is

√(a1^2+a2^2+a3^2)

The formula for the magnitude of a vector can be generalized to arbitrary dimensions. For example, if a=(a1,a2,a3,a4) is a four-dimensional vector, the formula for its magnitude is

√(a1^2+a2^2+a3^2+a4^2)

Example:

Calculatethe magnitude of the vector 2i + 3j + 4k.

Magnitude = √(2^2 + 3^2 + 4^2)

= √(4 + 9 + 16)

= √29