Mathematics · Vector Algebra and 3D Geometry
Match the mathematical operations in List-I with their corresponding correct values in List-II: List–I: (A) The angle between vectors a = i + 2j + k and b = 2i - j + 2k is (B) The scalar projection of vector a = 3i + 4j on vector b = i + 2j is (C) The shortest distance between lines (x - 1)/2 = (y + 1)/(-1) = z/3 and (x + 2)/(-1) = (y - 3)/2 = (z - 1)/1 is (D) The equation of the plane passing through point (1, 2, 3) and perpendicular to vector n = 2i - j + k is List–II: (p) cos-1(3/√30) (q) 11/√5 (r) 7/√14 (s) 2x - y + z = 5 (t) 9/√14
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1A–(r), B–(q), C–(t), D–(p)
- 2A–(p), B–(q), C–(r), D–(s)✓
- 3A–(q), B–(t), C–(p), D–(s)
- 4A–(p), B–(q), C–(s), D–(r)
Correct answer
A–(p), B–(q), C–(r), D–(s)
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