3D Vector Calculator

3D Vector Magnitude

Calculate magnitude and direction cosines for a 3D vector.

Method: Magnitude is found with the 3D distance formula, then each component is divided by the magnitude.

Understanding 3D Vectors

1. What This Calculator Measures

A 3D vector uses x, y, and z components to describe direction and size in space.

2. How the Calculation Works

The calculator squares each component, adds them, and takes the square root for magnitude. Direction cosines compare each component with the magnitude.

3. Formula or Rule Used

magnitude = sqrt(x^2 + y^2 + z^2).

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