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Question: Answered & Verified by Expert
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?
MathematicsThree Dimensional GeometryNDANDA 2015 (Phase 1)
Options:
  • A $\left\langle\frac{12}{13}, \frac{4}{13}, \frac{3}{13}\right\rangle$
  • B $\left\langle\frac{12}{13},-\frac{4}{13}, \frac{3}{13}\right\rangle$
  • C $\left\langle\frac{12}{13},-\frac{4}{13},-\frac{3}{13}\right\rangle$
  • D $\left\langle-\frac{12}{13},-\frac{4}{13}, \frac{3}{13}\right\rangle$
Solution:
2781 Upvotes Verified Answer
The correct answer is: $\left\langle\frac{12}{13}, \frac{4}{13}, \frac{3}{13}\right\rangle$
Direction cosine of line segment $=\left(\frac{12}{13}, \frac{4}{13}, \frac{3}{13}\right)$
Option (a) is correct.

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