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NDA 2012
Exam
NDA
Year
2012
Subject
Mathematics
Chapter
Vector Algebra

NDA 2012 · Mathematics · Vector Algebra

The magnitude of the scalar p for which the vector p(-3 i -2 j +13...

The magnitude of the scalar pp for which the vector p(−3i^−2j^+13k^)p(-3 \hat{i}-2 \hat{j}+13 \hat{k}) is of unit length is :

Options

  1. A18\frac{1}{8}
  2. B164\frac{1}{64}
  3. C182\sqrt{182}
  4. D1182\frac{1}{\sqrt{182}}

Correct answer

D. 1182\frac{1}{\sqrt{182}}

Step-by-step solution

∣p(−3i^−2j^+13k^)∣=1∴p9+4+169=1∴p=1182|p(-3 \hat{i}-2 \hat{j}+13 \hat{k})|=1\therefore \quad p \sqrt{9+4+169}=1\therefore \quad p=\frac{1}{\sqrt{182}}.
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