Question

the ratio in which YZ plane divides the line segment formed by joining the points (-2,4,7) and (3,-5,8)

Answer 1

Let $P\equiv \left(o,h,s\right)$ be the point at which $yz$ plane interest above point

$\left[\because x-coordinate=0inyzplane\right]$

also let the ratio be $K:1$

$0=\frac{-2K+3}{K+1}$

$\Rightarrow -2K+3=0$

$\Rightarrow K=\frac{-3}{-2}=\frac{3}{2}$

$\therefore$ Required ratio is $3:2$