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NDA 2014
Exam
NDA
Year
2014
Subject
Mathematics
Chapter
Vector Algebra

NDA 2014 · Mathematics · Vector Algebra

Which one of the following is the unit vector perpendicular to both...

Which one of the following is the unit vector perpendicular to both a⃗=−i^+j^+k^\vec{a}=-\hat{i}+\hat{j}+\hat{k} and b⃗=−i^−j^+k^?\vec{b}=-\hat{i}-\hat{j}+\hat{k} ?

Options

  1. Ai^+j^2\frac{\hat{i}+\hat{j}}{\sqrt{2}}
  2. Bk^\hat{k}
  3. Cj^+k^2\frac{\hat{j}+\hat{k}}{\sqrt{2}}
  4. Di^−j^2\frac{\hat{i}-\hat{j}}{\sqrt{2}}

Correct answer

A. i^+j^2\frac{\hat{i}+\hat{j}}{\sqrt{2}}

Step-by-step solution

The correct answer is option (A)
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