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Class 12 Vector Algebra · Mcq Single Correct1 Marksparallel_vectors

Class 12 Maths · Vector Algebra · Mcq Single Correct #22

Let a = (a₁,a₂,a₃), b = (b₁,b₂,b₃), with b₁b₂b₃ ≠ 0. Which condition is necessary and sufficient for a to be a scalar multiple of b?

✅ Step-by-Step Solution

Final Answer: Option (B): a₁/b₁ = a₂/b₂ = a₃/b₃
  1. Equal component ratios give a = λb. Componentwise equality is sufficient but not necessary; the ratio statement is both.

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