CUET Mathematics 2025 15 May Shift 2 PYQs

The direction cosines of the line which is perpendicular to the lines with direction ratios $1,-2,-2$ and $0,2,1$ are :

The projection vector of the vector $2\hat{i} + 3\hat{j} + \hat{k}$ on $2\hat{i} + \hat{j} - 2\hat{k}$ is

The position vector of a point which divides the line joining the points with position vectors $(\hat{i} - 2\hat{j})$ and $(2\hat{i} + \hat{k})$ externally in the ratio 2:1, is