CUET Mathematics 2026 14th May Shift 2 PYQs

Let $\vec{a} = 2\hat{i} - \hat{j}, \vec{b} =- 4\hat{j} + k\,\text{and}\,\vec{c} = \hat{i} + 2\hat{k}$. If $\vec{d}$ is a vector perpendicular to both $\vec{a}$ and $\vec{b}$ such that $\vec{c} \cdot \vec{d} = 34$, then $|\vec{d}|$ is equal to

If $\vec a, \vec b$ and $\vec c$ are three vectors, then meaningless expressions are

(A) $\vec a.(\vec b\times\vec c)$

(B) $\vec a.(\vec b.\vec c)$

(C) $\vec a\times(\vec b\times\vec c)$

(D) $\vec a\times(\vec b.\vec c)$

Choose the correct answer from the options given below:

Let $\vec{a} = \hat{i} + 4\hat{j}$, $\vec{b} = 4\hat{j} + \hat{k}$ and $\vec{c} = \hat{i} - 2\hat{k}$. If $\vec{d}$ is a vector perpendicular to both $\vec{a}$ and $\vec{b}$ such that $\vec{c} \cdot \vec{d} = 16$, then $|\vec{d}|$ is equal to