A: ∣2i^×3j^∣=6 (IV).
B: k^⋅k^+i^⋅i^=1+1=2 (I).
C: Collinearity gives a2=−6−3=21, so a=4 (II).
D: 4−4+λ=0, so λ=0 (III).
Match List I with List II | LIST I | LIST II | |---|---| | A. The area of parallelogram determined by vectors 2 i and 3 j | I. 2 | | B. The value of…
CUET UG 2023 — Mathematics Algebra
2023mcqmedium
Match List I with List II
| LIST I | LIST II |
|---|---|
| A. The area of parallelogram determined by vectors 2i^ and 3j^ | I. 2 |
| B. The value of (i^×j^)⋅k^+(j^×k^)⋅i^ | II. 4 |
| C. The value of a for which the vectors 2i^−3j^+4k^ and ai^−6j^+8k^ are collinear. | III. 0 |
| D. The value of λ for which the vectors 2i^+j^+k^ and 2i^−4j^+λk^ are perpendicular | IV. 6 |
Choose the correct answer from the options given below:
Official previous-year question
Held on 25 May 2023 · Verified 13 Jul 2026.
Options
- A
A-I, B-II, C-III, D-IV
- B
A-II, B-I, C-III, D-IV
- C
A-III, B-IV, C-II, D-I
- D
A-IV, B-I, C-II, D-III
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