Three Dimensional Geometry Question 50
Question: The direction cosines of the normal to the plane $ 2x+3y-6z=5 $ are
Options:
A) $ 2,3,-6 $
B) $ \frac{2}{7}, \frac{3}{7}, -\frac{6}{7} $
C) $ \frac{2}{5},\frac{3}{5}, -\frac{6}{5} $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
Direction ratios of normal to the plane are (2, 3, ? 6)
$ \therefore $ Direction cosines are, $ ( \frac{2}{\sqrt{49}}, \frac{3}{\sqrt{49}}, -\frac{6}{\sqrt{49}} ) $ or $ ( \frac{2}{7}, \frac{3}{7}, \frac{-6}{7} ) $ .
BETA
