# Analytical Geometry – Calculate angle between lines- Exercise 4419

Exercise

Calculate the cosine of the angle between the line

$$\frac{x-1}{2}=\frac{y+2}{1}=\frac{z+5}{3}$$

And between the line given as the intersection of the two plains

$$2x-y+3z=1$$

$$5x+4y-z=7$$

$$\cos\alpha=\frac{34}{\sqrt{8106}}$$