Question

The perpendicular distance of the point (2, 4, -1) from the line $\frac{x+5}{1}=\frac{y+3}{4}=\frac{6-z}{9}$ is

• A. 7
• B. 14
• C.
• D.

Answer 1

The correct option is A

7

Distance of the point $\overrightarrow{c}$ from the line $\overrightarrow{r}$= $\overrightarrow{a}+t\overrightarrow{b}is\frac{|\overrightarrow{b}\times (\overrightarrow{a}-\overrightarrow{c})|}{|\overrightarrow{b}|}$

Therefore distance = 7 units