Question

The perpendicular distance of the line $\overline{r}$$\overline{a}$=1$\overline{r}$$\overline{b}$=1 from origin is

• A. $\frac{{|\overline{a}-\overline{b}|}^2}{|\overline{a}\times \overline{b}|}$
• B. $\frac{|\overline{a}-\overline{b}|}{{|\overline{a}\times \overline{b}|}^2}$
• C. $\sqrt{\frac{|\overline{a}-\overline{b}|}{|\overline{a}\times \overline{b}|}}$
• D. $\frac{|\overline{a}-\overline{b}|}{|\overline{a}\times \overline{b}|}$

Answer 1

The correct option is D $\frac{|\overline{a}-\overline{b}|}{|\overline{a}\times \overline{b}|}$

The required perpendicular distance between the given lines will be

$=\frac{|\overrightarrow{a}-\overrightarrow{b}|}{|\overrightarrow{a}\times \overrightarrow{b}|}$