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Vector Dot Product 3D

Calculate dot product using the vector dot product 3d formula.

Dot product: -

Vector Dot Product 3D diagram

The diagram updates with your entries and is illustrative, not necessarily drawn to scale.

How this result was calculated

The formula, your substituted values, and the evaluated result are shown below.

Reference: Formulae and Tables, State Examinations Commission (2014), page 18.

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How the Vector Dot Product 3D works

This calculator applies the formula given in Formulae and Tables, State Examinations Commission (2014), page 18. Enter values in consistent units.

Formula and inputs

x1 × x2+y1 × y2+z1 × z2

Inputs: A x, A y, A z, B x, B y, B z.

Using the result

The result is rounded to 4 decimal places. Check units, assumptions and significant figures before using the answer.