Calculate Product of Three Dimensional Vectors
Calculate the product of three dimensional vectors(3D Vectors) for entered vector coordinates.
Calculator
Formula
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
