List of top Physics Questions on Scalar Triple Product asked in CUET (UG)

Let $\hat{a}, \hat{b}, \hat{c}$ be unit vectors such that $\hat{a}\times(\hat{b}\times\hat{c})=\frac{\sqrt{3}}{2}(\hat{b}+\hat{c})$. The angle between $\hat{a}$ and $\hat{c}$ is:

Let $\vec{\alpha} = \hat{i} + 2\hat{j} - \hat{k}$, $\vec{\beta} = 2\hat{i} - \hat{j} + 3\hat{k}$, and $\vec{\gamma} = 2\hat{i} + \hat{j} + 6\hat{k}$.If $\vec{\alpha}$ and $\vec{\beta}$ are both perpendicular to a vector $\vec{\delta}$ and $\vec{\delta} \cdot \vec{\gamma} = 10$, then the magnitude of $\vec{\delta}$ is: }