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Vector Dot Product Calculator

Enter three corresponding components for each vector.

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3D vector dot product

The result is a scalar; units multiply if components carry units.

Dot product: —

A QUICK WALKTHROUGH

How to use this tool

  1. Enter x, y and z components of the first vector.
  2. Enter corresponding components of the second vector.
  3. Calculate the scalar dot product.

Formula

The dot product is the sum of products of corresponding components: u·v=u₁v₁+u₂v₂+u₃v₃.

Units

If components have units, the result has the product of those units. Local calculation only.

GOOD TO KNOW

Common questions

Is the result a vector?

No. The dot product is a scalar.