Q. The intercept made by the plane $\overrightarrow{r} \bullet \overrightarrow{n} = q$ on the $x$-axis is
A) $\frac{q}{\widehat{i} \bullet \overrightarrow{n}}$
B) $\frac{\widehat{i} \bullet \overrightarrow{n}}{q}$
C) $\frac{\widehat{i} \bullet \overrightarrow{n}}{q}$
D) $\frac{q}{|\overrightarrow{n}|}$
Explanation
(a)
$x$ intercept is say $x_{1}$
$\Rightarrow$ Plane passes through it
$\therefore x_{1}\ \widehat{i} \bullet \overrightarrow{n} = q\ \Rightarrow x_{1} = \frac{q}{\widehat{i} \bullet \overrightarrow{n}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.