Dot product · 3D

Calculate dot product · 3d and see the working behind your result.

Inputs

Use the units shown
RESULT
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Enter your values and select Calculate.

Formula & explanation
a·b = aₓbₓ+aᵧbᵧ+a_zb_z

Variables & units

First vector · x
Numeric value · minimum -1000000, maximum 1000000
First vector · y
Numeric value · minimum -1000000, maximum 1000000
First vector · z
Numeric value · minimum -1000000, maximum 1000000
Second vector · x
Numeric value · minimum -1000000, maximum 1000000
Second vector · y
Numeric value · minimum -1000000, maximum 1000000
Second vector · z
Numeric value · minimum -1000000, maximum 1000000

Worked example

(1,2,3)·(4,5,6) = 32.

Assumptions

A dot product is a scalar, not another vector.

Formula version 1.0.0. JavaScript floating-point arithmetic applies. Results display up to 6 decimal places; stored values retain available precision. Use the units shown.

Practice with an example

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