CUET Mathematics 2025 14 May Shift 2 PYQs

The value of $\lambda$, for which the two vectors $2\vec{i} - \vec{j} + 2\vec{k}$ and $3\vec{i} + \lambda\vec{j} + \vec{k}$ are perpendicular, is:

Given that $\vec{a} = -3\hat{i} - 6\hat{j} + 4\hat{k}$, $\vec{b} = 9\hat{i} - 4\hat{j} - 12\hat{k}$. If $\vec{a} imes \vec{b} = \vec{0}$, then the value of λ is

If $\vec{a}, \vec{b}$ and $\vec{c}$ are three unit vectors and $\vec{a} + \vec{b} + \vec{c} = \vec{0}$, then the angle between $\vec{a}$ and $(-\vec{b})$ is