Projection of a on b is ∣b∣a⋅b.
(A) a⋅b=1−1=0. Proj =0 (II).
(B) a⋅b=2, ∣b∣=5. Proj =52 (I).
(C) a⋅b=1, ∣b∣=2. Proj =21 (IV).
(D) a⋅b=2, ∣b∣=2. Proj =2 (III).
Match List - I with List - II. | | List - I (Two given vector) | | List - II (Projection of a on b) | |---|---|---|---| | (A) | a = i - j, b = i + j…
CUET UG 2022 — Mathematics Algebra
2022mcqmedium
Match List - I with List - II.
| List - I (Two given vector) | List - II (Projection of a on b) | ||
|---|---|---|---|
| (A) | a=i^−j^, b=i^+j^ | (I) | 52 |
| (B) | a=i^+j^, b=2i^−k^ | (II) | 0 |
| (C) | a=j^+k^, b=i^+k^ | (III) | 2 |
| (D) | a=2i^+3j^, b=i^−k^ | (IV) | 21 |
Choose the correct answer from the options given below :
Official previous-year question
Held on 7 Aug 2022 · Verified 13 Jul 2026.
Options
- A
(A) - (II), (B) - (I), (C) - (IV), (D) - (III)
- B
(A) - (I), (B) - (II), (C) - (III), (D) - (IV)
- C
(A) - (III), (B) - (I), (C) - (II), (D) - (IV)
- D
(A) - (IV), (B) - (III), (C) - (I), (D) - (II)
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