Math
Vector cross product
Calculate the components and magnitude of the cross product of two vectors.
Calculators / Math / Vector dot product
Vector dot product calculator
Compute the scalar dot product of two three-dimensional vectors.
On this page
Dot product32
Calculator controls
How to calculate
Compute the scalar dot product of two three-dimensional vectors.
Dot product = ax*bx+ay*by+az*bz
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.
Dot product: 32 .
Assumptions and limits
Use Cartesian components with a common orthonormal basis. The output unit is the product of the vectors’ units.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
Compute the scalar dot product of two three-dimensional vectors.
When this tool is useful
Dot product = ax*bx+ay*by+az*bz
Understanding your inputs
| Input | What to enter |
|---|---|
| Vector A x | Enter a number of at least -1000000000000 and no more than 1000000000000. |
| Vector A y | Enter a number of at least -1000000000000 and no more than 1000000000000. |
| Vector A z | Enter a number of at least -1000000000000 and no more than 1000000000000. |
| Vector B x | Enter a number of at least -1000000000000 and no more than 1000000000000. |
| Vector B y | Enter a number of at least -1000000000000 and no more than 1000000000000. |
| Vector B z | Enter a number of at least -1000000000000 and no more than 1000000000000. |
Frequently asked questions
What assumptions does this calculation use?
Use Cartesian components with a common orthonormal basis. The output unit is the product of the vectors’ units.
How is the result calculated?
Dot product = ax*bx+ay*by+az*bz