Question

Find the ratio in which YZ – plane divides the line segment formed by

Joining the points ( -2,4,7) and (3,-5, 8 ). ​

Answer 1

Answer:

Let the YZ plane divide the line segment joining points (−2,4,7) and (3,−5,8) in the ratio k:1.

Hence, by section formula, the coordinates of point of intersection are given by :

(

k+1

k(3)−2

,

k+1

k(−5)+4

,

k+1

k(8)+7

)

On the YZ plane, the x-coordinate of any point is zero.

k+1

3k−2

=0

3k−2=0

k=

3

2

Thus, the YZ plane divides the line segment formed by joining the given points in the ratio 2:3.