Question

The length of the perpendicular from (1, 0, 2) on the line ​$\frac{x+1}{3}=\frac{y+1}{-2}=\frac{z+1}{-1}$ is

• A. $\frac{3\sqrt{6}}{2}$
• B. $\frac{6\sqrt{3}}{5}$
• C. $3\sqrt{2}$
• D. $2\sqrt{3}$

Answer 1

The correct option is A $\frac{3\sqrt{6}}{2}$

$PM=\sqrt{{(1-\frac{1}{2})}^2+(0-1{)}^2+{(2+\frac{3}{2})}^2}=\sqrt{(\frac{1}{4}+1+\frac{49}{4})}=\sqrt{\frac{54}{4}}=\frac{3\sqrt{6}}{2}$