Three Dimensional Geometry Question 111
Question: The co-ordinates of a point P are (3, 12, 4) with respect to origin O, then the direction cosines of $ OP $ are
[MP PET 1996]
Options:
A) 3, 12, 4
B) $ \frac{1}{4},\frac{1}{3},\frac{1}{2} $
C) $ \frac{3}{\sqrt{13}},\frac{1}{\sqrt{13}},\frac{2}{\sqrt{13}} $
D) $ \frac{3}{13},\frac{12}{13},\frac{4}{13} $
Show Answer
Answer:
Correct Answer: D
Solution:
Required direction cosines are $ \frac{3}{\sqrt{3^{2}+12^{2}+4^{2}}},\frac{12}{\sqrt{3^{2}+12^{2}+4^{2}}},\frac{4}{\sqrt{3^{2}+12^{2}+4^{2}}} $ i.e., $ \frac{3}{13},\frac{12}{13},\frac{4}{13} $ .
BETA
