For vectors given by their components: A = (Ax, Ay, Az) and B = (Bx, By, Bz), the scalar product is given by A · B = AxBx + AyBy + AzBz Note that if θ = 90°, then cos (θ) = 0 and therefore we can state that: Two vectors, with magnitudes not equal to zero, are perpendicular if and only if their scalar product is equal to zero.
