Angle Between Vectors
MATHEMATICS
Angle Between Vectors
Find the angle between equal-length nonzero vectors.
UNDERSTAND YOUR RESULT
How it works
Find the angle between equal-length nonzero vectors.
THE CALCULATIONangle = acos((a·b)/(|a||b|))
Using this calculator
Enter first vector, second vector. angle = acos((a·b)/(|a||b|)).
What to keep in mind
Finite real numbers unless a complex or exact-integer result is specified. Outputs are rounded for display. Matrix calculations use floating-point arithmetic.
Frequently asked questions
Are my entries saved?
No. Calculator inputs remain in the current page and are cleared when you reload or leave. The tools do not upload your entries.
Why are results rounded?
The display is rounded for readability. Calculations use unrounded intermediate values. An estimate should not be interpreted as an exact measurement.