Question

Find the ratio in which the line segment joining the points (2, 4, 5) and (3, -5, 4) is divided by the yz-plane.

Answer 1

Let the yz-plane divide the line segment joining the points (2, 4, 5) and (3, -5, 4) in m:1.

Now, we know that on yz-plane the coordinate of x is 0

$\therefore \frac{m\times 3+1\times 2}{m+1}=0$

$\Rightarrow 3m+2=0$

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

Hence, yz-plane divide the line segment joining the points (2, 4, 5) and (3, -5, 4) in 2:3 externally.