Question

The intercept made by the plane $\overrightarrow{r}.\overrightarrow{n}=q$ on the x-axis is

• A. $\frac{q}{\hat{i}.\overrightarrow{n}}$
• B. $\frac{\hat{i}.\overrightarrow{n}}{q}$
• C. $(\hat{i}.\overrightarrow{n})q$
• D. $\frac{q}{\left|\overrightarrow{n}\right|}$

Answer 1

The correct option is A $\frac{q}{\hat{i}.\overrightarrow{n}}$

x intercept is say $\Rightarrow$ plane passes through $x_1\hat{i}$
$\therefore x_1\hat{i}.\overrightarrow{n}=q\Rightarrow x_1=\frac{q}{\hat{i}.\overrightarrow{n}}$