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NDA 2012
Exam
NDA
Year
2012
Subject
Mathematics
Chapter
Three Dimensional Geometry

NDA 2012 · Mathematics · Three Dimensional Geometry

What are the direction cosines of a line which is equally inclined...

What are the direction cosines of a line which is equally inclined to the positive directions of the axes?

Options

  1. A⟨13,13,13⟩\left\langle\frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}\right\rangle
  2. B⟨−13,13,13⟩\left\langle-\frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}\right\rangle
  3. C⟨−13,−13,13⟩\left\langle-\frac{1}{\sqrt{3}},-\frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}\right\rangle
  4. D⟨13,13,13⟩\left\langle\frac{1}{3}, \frac{1}{3}, \frac{1}{3}\right\rangle

Correct answer

A. ⟨13,13,13⟩\left\langle\frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}\right\rangle

Step-by-step solution

The correct answer is option A.
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