CUET Mathematics 2025 3 June Shift 2 PYQs

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

If $\vec{a} = 2\hat{i} - \hat{k}$, $\vec{b} = 2\hat{i} - 3\hat{j} + \hat{k}$ and $\vec{c} = -\hat{i} + \hat{k}$ are three vectors, then the area (in sq. units) of the parallelogram whose diagonals are $(\vec{a} + \vec{c})$ and $(\vec{a} + \vec{c})$ is

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