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NDA 2013
Exam
NDA
Year
2013
Subject
Mathematics
Chapter
Vector Algebra

NDA 2013 · Mathematics · Vector Algebra

Which one of the following vectors is normal to the vector i + j +...

Which one of the following vectors is normal to the vector i^+j^+k^\hat{i}+\hat{j}+\hat{k} ?

Options

  1. Ai^+j^−k^\hat{i}+\hat{j}-\hat{k}
  2. Bi^−j^+k^\hat{i}-\hat{j}+\hat{k}
  3. Ci^−j^−k^\hat{i}-\hat{j}-\hat{k}
  4. DNone of the above

Correct answer

D. None of the above

Step-by-step solution

a⃗⋅(i^+j^+k^)=0\vec{a} \cdot(\hat{i}+\hat{j}+\hat{k})=0 Hence (4) none of these
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