GATE AG 2013 • Q2 MCQ • 1 Mark

Section 1: Engineering Mathematics

Vector Calculus

Subtopic: Vector differentiation

Question Statement:

If C = A × B, where A = 2i − j + 3k and B = i + 2j; then C is

Options:

  • (A) −6i+3j+5k
  • (B) 6i+3j−5k
  • (C) −6i+2j+3k
  • (D) 6i+2j+5k

Official Answer Key:

A

Step-by-Step Solution & Explanation

C = A×B = |i j k; 2 −1 3; 1 2 0| i: (−1×0 − 3×2) = −6 j: −(2×0 − 3×1) = −(−3) = 3 k: (2×2 − (−1)×1) = 4+1 = 5 C = −6i + 3j + 5k. Answer: (A).

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