Enter two vectors to calculate their dot product.
How to Use the Dot Product Calculator
Enter the x, y, and z components of both vectors. Their dot product comes out below.
A · B = Ax·Bx + Ay·By + Az·BzMultiplying matching components and adding the results collapses two vectors into a single number that captures how much they point in the same direction — positive when they generally agree, zero when they're perpendicular, negative when they point more than 90° apart. That single number is also the building block behind the angle-between-vectors and projection formulas elsewhere on this site; the dot product is the quantity both of those ultimately reduce to.