CUET · MATHS · PYQ PAPER 2023
Match List - I With List - II
| List - I | List - II |
| (A) The area of parallelogram determined by vectors \(2 \hat{i}\) and \(3 \hat{j}\) | (I) 2 |
| (B) The value of \((\hat{i} \times \hat{j}) \cdot \hat{k}+(\hat{j} \times \hat{k}) \cdot \hat{i}\) | (II) 4 |
| (C) The value of a for which the vectors \(2 \hat{i}-3 \hat{j}+4 \hat{k}\) and \(a \hat{i}-6 \hat{j}+8 \hat{k}\) are collinear. | (III) 0 |
| D. The value of \(\lambda\) for which the vectors \(2 \hat{i}+\hat{j}+\hat{k}\) and \(2 \hat{i}-4 \hat{j}+\lambda \hat{k}\) are perpendicular. | (IV) 6 |
- A А - І, В - ІI, С - III, D - IV
- B А-II, В - І, С - III, D - IV
- C А - III, В - IV, C - II, D - I
- D A - IV, B - I, C - II, D - III
Answer & Solution
Correct Answer
(D) A - IV, B - I, C - II, D - III
Step-by-step Solution
Detailed explanation
A. \( |(2 \hat{i}) \times (3 \hat{j})| = |6 \hat{k}| = 6 \) A - IV B. \( (\hat{i} \times \hat{j}) \cdot \hat{k} + (\hat{j} \times \hat{k}) \cdot \hat{i} = \hat{k} \cdot \hat{k} + \hat{i} \cdot \hat{i} = 1 + 1 = 2 \) B - I C.…
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