CUET · MATHS · PYQ PAPER 2025
A vector of magnitude 9, which is perpendicular to both the vectors \((4 \hat{i}-\hat{j}+8 \hat{k})\) and \((-\hat{j}+\hat{k})\) is
- A \(7 \hat{i}-4 \hat{j}-4 \hat{k}\)
- B \(4 \hat{i}-7 \hat{j}+4 \hat{k}\)
- C \(4 \hat{i}-4 \hat{j}+7 \hat{k}\)
- D \(-4 \hat{i}+4 \hat{j}-7 \hat{k}\)
Answer & Solution
Correct Answer
(A) \(7 \hat{i}-4 \hat{j}-4 \hat{k}\)
Step-by-step Solution
Detailed explanation
\( \vec{A} = 4 \hat{i} - \hat{j} + 8 \hat{k}, \vec{B} = - \hat{j} + \hat{k} \) \( \vec{C} = \vec{A} \times \vec{B} = \begin{vmatrix} \hat{i} & \hat{j} & \hat{k} \\ 4 & -1 & 8 \\ 0 & -1 & 1 \end{vmatrix} \)…
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