Question

find the ratio in which yz plane divides the line joining the points A(2,4,5),B(3,5,_4) also find the point of intersection​

Answer 1

Let the ratio be λ:1

The dividing plane is YZ plane.

So, the co-ordinate of x after dividing the line =0

Now According to internal division rule of line segment

x=

λ+1

3×λ−1×2

⇒

λ+1

3λ−2

=0

⇒3λ−2=0 ⇒λ=

3

2

.

So. Ratio =2:3