3 Find the ratio in which the YZ-plane divides the line segment formed by joining the points (–2, 4, 7) and (3, –5, 8).
Given,
two points A(–2, 4, 7) and B(3, –5, 8)
Let Y-Z plane divides AB in
So, According to the section formula, the point which divides AB in is
Since this point is in YZ plane, x coordinate of this point will be zero.
So,
Hence YZ plane divides Line segment AB in a ratio 2:3.