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Dot Product Calculator

Math
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Calculates the dot product (scalar product) of two vectors. The dot product of two vectors is a single number that represents the cosine of the angle between them, scaled by the product of their magnitudes.

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How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Vector 1 X Component, Vector 1 Y Component, Vector 1 Z Component, Vector 2 X Component, Vector 2 Y Component, and Vector 2 Z Component in the units shown.

Step 2

Read Dot Product in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

Example 1

Vector 1 X Component: 1; Vector 1 Y Component: 2; Vector 1 Z Component: 3; Vector 2 X Component: 4; Vector 2 Y Component: 5; Vector 2 Z Component: 6

Dot Product: 32

Example 2

Vector 1 X Component: 0; Vector 1 Y Component: 0; Vector 1 Z Component: 1; Vector 2 X Component: 0; Vector 2 Y Component: 0; Vector 2 Z Component: 1

Dot Product: 1

Example 3

Vector 1 X Component: 1; Vector 1 Y Component: 0; Vector 1 Z Component: 0; Vector 2 X Component: 0; Vector 2 Y Component: 1; Vector 2 Z Component: 0

Dot Product: 0

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