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NDA 2015
Exam
NDA
Year
2015
Subject
Mathematics
Chapter
Three Dimensional Geometry

NDA 2015 · Mathematics · Three Dimensional Geometry

The projections of a directed line segment on the coordinate axes...

The projections of a directed line segment on the coordinate axes are 12, 4, 3 respectively. What are the direction cosines of the line segment?

Options

  1. A⟨1213,413,313⟩\left\langle\frac{12}{13}, \frac{4}{13}, \frac{3}{13}\right\rangle
  2. B⟨1213,−413,313⟩\left\langle\frac{12}{13},-\frac{4}{13}, \frac{3}{13}\right\rangle
  3. C⟨1213,−413,−313⟩\left\langle\frac{12}{13},-\frac{4}{13},-\frac{3}{13}\right\rangle
  4. D⟨−1213,−413,313⟩\left\langle-\frac{12}{13},-\frac{4}{13}, \frac{3}{13}\right\rangle

Correct answer

A. ⟨1213,413,313⟩\left\langle\frac{12}{13}, \frac{4}{13}, \frac{3}{13}\right\rangle

Step-by-step solution

Direction cosine of line segment =(1213,413,313)∴ Option (A) is  correct . =\left(\frac{12}{13}, \frac{4}{13}, \frac{3}{13}\right)\therefore \quad \text{ Option (A)\text{ is }\text{ correct }. }
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