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NDA 2013
Exam
NDA
Year
2013
Subject
Mathematics
Chapter
Vector Algebra

NDA 2013 · Mathematics · Vector Algebra

What is the vector perpendicular to both the vectors i - j and i ?

What is the vector perpendicular to both the vectors i^−j^\hat{i}-\hat{j} and i^\hat{i} ?

Options

  1. Ai^\hat{i}
  2. B−j^-\hat{j}
  3. Cj^\hat{j}
  4. Dk^\hat{k}

Correct answer

D. k^\hat{k}

Step-by-step solution

Two vectors are perpendicular if its dot product equals to zero. (i^−j^)⋅k^=0 and i^⋅k^=0(\hat{i}-\hat{j}) \cdot \hat{k}=0 \text{ and } \hat{i} \cdot \hat{k}=0 Hence, perpendicular vector is k^\hat{k}.
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