question_answer

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?

A) \[\ell +m+n=0\]

B) \[a+b+c=0\]

C) \[\frac{a}{\ell }+\frac{b}{m}+\frac{c}{n}=0\]

D) \[a\ell +bm+cn=0\]