How it works
A·B = AxBx + AyBy + AzBz. A zero dot product means nonzero vectors are perpendicular.
Input definitions
- Vector A x
- Enter the value in the labeled unit.
- Vector A y
- Enter the value in the labeled unit.
- Vector A z
- Enter the value in the labeled unit.
- Vector B x
- Enter the value in the labeled unit.
- Vector B y
- Enter the value in the labeled unit.
- Vector B z
- Enter the value in the labeled unit.
A worked example
- Vector A x
- 1
- Vector A y
- 2
- Vector A z
- 3
- Vector B x
- 4
- Vector B y
- 5
- Vector B z
- 6
Assumptions & limits
Uses the units and scope stated in the input labels. Results are rounded for display; verify the model is appropriate for your situation.
Sources & review
Maintained by AnsRio. Methods and examples use automated checks; this does not imply independent professional certification.
Method updated 2026-10-18. Content checked against the stated method and examples. Our verification approach.
Common questions
What does a zero dot product mean?
Two nonzero vectors with a zero dot product are perpendicular. The zero vector also has zero dot product with every vector.
How does Three-dimensional dot product work?
A·B = AxBx + AyBy + AzBz. A zero dot product means nonzero vectors are perpendicular.
What should I check before using Three-dimensional dot product?
Uses the units and scope stated in the input labels. Results are rounded for display; verify the model is appropriate for your situation.