Three Dimensional Geometry Question 364
Question: If the straight line $ \frac{x-x_0}{\ell }=\frac{y-y_0}{m}=\frac{z-z_0}{n} $ is parallel to the plane $ ax+by+cz+d=0 $ then which one of the following is correct?
Options:
A) $ \ell +m+n=0 $
B) $ a+b+c=0 $
C) $ \frac{a}{\ell }+\frac{b}{m}+\frac{c}{n}=0 $
D) $ a\ell +bm+cn=0 $
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Answer:
Correct Answer: D
Solution:
[d] If the line is parallel to the plane then $ a\ell +bm+cn=0 $