The angle between the spacial vectors
$$cos(\alpha) = \frac{x_1\cdot x_2+y_1\cdot y_2+z1\cdot z2}{\sqrt {x_1^{2}+y_1^{2}+z1^{2}}\cdot \sqrt {x_2^{2}+y_2^{2}+z2^{2}}}$$
α - angle between the vectors
x1, y1, z1 - first vector coordinates
x2, y2, z2 - second vector coordinates
x1, y1, z1 - first vector coordinates
x2, y2, z2 - second vector coordinates
Find
It is known that:
= 