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NDA 2014
Exam
NDA
Year
2014
Subject
Mathematics
Chapter
Vector Algebra

NDA 2014 · Mathematics · Vector Algebra

For what value of λ are the vectors λ i +(1+λ) j +(1+2 λ) k and...

For what value of λ\lambda are the vectors λi^+(1+λ)j^+(1+2λ)k^\lambda \hat{i}+(1+\lambda) \hat{j}+(1+2 \lambda) \hat{k} and (1−λ)i^+λj^+2k^(1-\lambda) \hat{i}+\lambda \hat{j}+2 \hat{k} perpendicular?

Options

  1. A−13-\frac{1}{3}
  2. B13\frac{1}{3}
  3. C23\frac{2}{3}
  4. D1

Correct answer

A. −13-\frac{1}{3}

Step-by-step solution

The correct answer is option (A)
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