### Calculate Product of Three Dimensional Vectors

Calculate the product of three dimensional vectors(3D Vectors) for entered vector coordinates. The 3D vectors are using the x-y-z axes.

α is the angle between u and the x-axis. β is the angle between u and the y-axis. γ is the angle between u and the z-axis. Therefore scalar product for unit vector:

u1 = u ⋅ i = 1 × 1 × cos α = cos α

u2 = u⋅ j = 1 × 1 × cos β = cos β

u3 = u ⋅ k = 1 × 1 × cos γ = cos γ

the unit vector u can be written as: u = cos α i + cos β j + cos γ k