Three Dimensional Geometry Question 204
Question: If the co-ordinates of the points A, B, C, D be (1, 2, 3), (4, 5, 7), (?4, 3, ?6) and (2, 9, 2) respectively, then the angle between the lines AB and CD is
Options:
A) $ \frac{\pi }{6} $
B) $ \frac{\pi }{4} $
C) $ \frac{\pi }{3} $
D) None of these
Show Answer
Answer:
Correct Answer: D
Solution:
Here, d.r.’s of line AB and CD are 3, 3, 4 and 6, 6, 8 respectively.
$ \therefore $ $ \theta ={{\cos }^{-1}}[ \frac{(3),(6)+(3),(6)+(4),(8)}{\sqrt{34}.,\sqrt{136}} ]={{\cos }^{-1}},[ \frac{68}{2\times 34} ]=0^{o} $ .
BETA
