# Vectors – collinear calculation – Exercise 3597

Exercise

For what values of alpha and beta the vectors

$$\vec{a}=3\vec{i}+2\vec{j}+\beta \vec{k}$$

$$\vec{b}=\alpha \vec{i}-5\vec{j}+2\vec{k}$$

Are collinear?

$$\alpha=\frac{-15}{2},\beta=\frac{-4}{5}$$