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NDA 2010
Exam
NDA
Year
2010
Subject
Mathematics
Chapter
Vector Algebra

NDA 2010 · Mathematics · Vector Algebra

The vector a =x i +y i +z k , b = k , c are such that they form a...

The vector a⃗=xi^+yi^+zk^,b⃗=k^,c⃗\vec{a}=x \hat{i}+y \hat{i}+z \hat{k}, \vec{b}=\hat{k}, \vec{c} are such that they form a right-handed system. What is c⃗\vec{c} equal to?

Options

  1. Aj^\hat{j}
  2. Byj^−xk^y \hat{j}-x \hat{k}
  3. Cyi^−xj^y \hat{i}-x \hat{j}
  4. Dxi^−yj^x \hat{i}-y \hat{j}

Correct answer

B. yj^−xk^y \hat{j}-x \hat{k}

Step-by-step solution

The correct answer is option (B).
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