3D Vector Products Calculator
Compute the dot product, cross product and angle between two nonzero vectors.
Your result
MATHEnter your values and select calculate.
On this page How it works & practical examples
How to use the 3D Vector Products Calculator
Enter exactly three components for each vector in one Cartesian coordinate system. The angle uses the smaller angle from zero to 180 degrees.
The calculation
Worked example
Vectors (1,0,0) and (0,1,0) have dot product zero, cross product (0,0,1) and angle 90 degrees.
Assumptions and limits
Both vectors must be nonzero to define an angle. Cross-product direction assumes the usual right-handed coordinate convention; no coordinate conversion is performed.
Common questions
Which inputs should I use?
Enter exactly three components for each vector in one Cartesian coordinate system. The angle uses the smaller angle from zero to 180 degrees.
What does the result exclude?
Both vectors must be nonzero to define an angle. Cross-product direction assumes the usual right-handed coordinate convention; no coordinate conversion is performed.