Question

Find the ratio in which YZ-plane divides the line segment formed by Joining the points (2, 1,-1) and (3, 2, 4).

Answer 1

Answer:

Let A = (-2,4,7) and B=(3,

-5, 8) Now, A/C to question, Let K:1 ratio in YZ plane divides line AB

But we know, in YZ plane co ordinate of X will be zero

So, use section formula for X co-ordinate

x = (mx2 + nx)/(m + n) 0 = (mx2 + nx)/(m + n) mx2 + nx, = 0 Now, put m = k and n = 1 also X2 = 3 and x = -2 ::k* 3+1Ⓡ-2 = 0

3k -2 = 0

k= 2/3

Hence, YZ -plane divides the segment internally in the ratio 2

:3