Question

Find the ratio in which YZ-plane divides the line joining $A(2,4,5)$ and $B(3,5,-4)$. Also find the point of intersection.

Answer 1

On $y-z$ plane, $x=0$

Using section formula, we get

$\Rightarrow \frac{m_{1}x-2+m_2{x}_1}{m_1+m_2}=0$

so, $3m_1+2m_2=0$

$\frac{m_1}{m_2}=\frac{-2}{3}$

Thus, ratio $\frac{2}{3}$ externally

Hence, the answer is $\frac{2}{3}.$