[3×2] Write a vector of magnitude of 18 units in the direction of the vector . Find the angle…

Write a vector of magnitude of 18 units in the direction of the vector $\hat{i} - 2\hat{j} - 2\hat{k}$.

Find the angle between the two lines: $\frac{x + 1}{2} = \frac{y - 2}{5} = \frac{z + 3}{4} \quad \text{and} \quad \frac{x - 1}{5} = \frac{y + 2}{2} = \frac{z - 1}{-5}$

Find the equation of the plane passing through the point $(2, -3, 1)$ and perpendicular to the line joining the points $(4, 5, 0)$ and $(1, -2, 4)$.