Dot Product Calculator
Calculate the scalar product of two Cartesian vectors.
Formula
a · b = ax bx + ay by + az bz.
Dot product ≈ (1)×(4)+(2)×(5)+(3)×(6)
How to use
- Enter the three components of a.
- Enter the components of b in the same basis.
- Read the scalar product.
Examples
- (1, 2, 3) · (4, 5, 6) = 32.
Frequently asked questions
Can I use 2D vectors?
Yes. Set az and bz to zero.
What does a zero result mean?
Two nonzero vectors are perpendicular when their dot product is zero.
Do the components need the same basis?
Yes. Use the same orthonormal Cartesian basis and consistent units.
Sources
Updated: