Three Dimensional Geometry Question 88

Question: The projections of a line on the co-ordinate axes are 4, 6, 12. The direction cosines of the line are

Options:

A) $ \frac{2}{7},\frac{3}{7},\frac{6}{7} $

B) 2, 3, 6

C) $ \frac{2}{11},\frac{3}{11},\frac{6}{11} $

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

Direction cosines $ =( \frac{4}{\sqrt{16+36+144}},\frac{6}{14},\frac{12}{14} ) $ or $ ( \frac{2}{7},\frac{3}{7},\frac{6}{7} ) $ .