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NDA 2014
Exam
NDA
Year
2014
Subject
Mathematics
Chapter
Vector Algebra

NDA 2014 · Mathematics · Vector Algebra

Paragraph : Consider the vectors a = i -2 j + k and b =4 i -4 j +7...

Paragraph : Consider the vectors a⃗=i^−2j^+k^\vec{a}=\hat{i}-2 \hat{j}+\hat{k} and b⃗=4i^−4j^+7k^\vec{b}=4 \hat{i}-4 \hat{j}+7 \hat{k}.
Question : What is the vector perpendicular to both the vectors?

Options

  1. A−10i^−3j^+4k^-10 \hat{i}-3 \hat{j}+4 \hat{k}
  2. B−10i^+3j^+4k^-10 \hat{i}+3 \hat{j}+4 \hat{k}
  3. C10i^−3j^+4k^10 \hat{i}-3 \hat{j}+4 \hat{k}
  4. DNone of the above

Correct answer

A. −10i^−3j^+4k^-10 \hat{i}-3 \hat{j}+4 \hat{k}

Step-by-step solution

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