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NDA 2014
Exam
NDA
Year
2014
Subject
Mathematics
Chapter
Vector Algebra

NDA 2014 · Mathematics · Vector Algebra

What is the area of the triangle OAB where O is the origin, OA =3 i...

What is the area of the triangle OAB where O is the origin, OA→=3i^−j^+k^\overrightarrow{\mathrm{OA}}=3 \hat{i}-\hat{j}+\hat{k} and OB→=2i^+j^−3k^\overrightarrow{\mathrm{OB}}=2 \hat{i}+\hat{j}-3 \hat{k} ?

Options

  1. A565 \sqrt{6} square unit
  2. B562\frac{5 \sqrt{6}}{2} square unit
  3. C6\sqrt{6} square unit
  4. D30\sqrt{30} square unit

Correct answer

B. 562\frac{5 \sqrt{6}}{2} square unit

Step-by-step solution

The correct answer is option (B)
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