Q. Line $\overrightarrow{r} = \overrightarrow{a} + \lambda\overrightarrow{b}$ will not meet the plane $\overrightarrow{r} \bullet \overrightarrow{n} = q$, if
A) $\overrightarrow{b} \bullet \overrightarrow{n} = 0,\ \overrightarrow{a} \bullet \overrightarrow{n} = q$
B) $\overrightarrow{b} \bullet \overrightarrow{n} \neq 0,\ \overrightarrow{a} \bullet \overrightarrow{n} \neq q$
C) $\overrightarrow{b} \bullet \overrightarrow{n} = 0,\ \overrightarrow{a} \bullet \overrightarrow{n} \neq q$
D) $\overrightarrow{b} \bullet \overrightarrow{n} \neq 0,\ \overrightarrow{a} \bullet \overrightarrow{n} = q$
Explanation
(c)
We must have $\overrightarrow{b} \bullet \overrightarrow{n} = 0$ (because the line and the plane must be parallel) and $\overrightarrow{a} \bullet \overrightarrow{n} \neq q$ (as point $\overrightarrow{a}$ on the line should not lie on the plane)
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.