Find the ratio in which the line segment joining the points (4, 8, 10) and
(6, 10, -8) is divided by the yz-plane.
Let A = (4, 8, 10) B = (6, 10, -8)
Let the line joining A and B be divided by the YZ - plane at point P in the ratio λ:1.
∴P=(6λ+4λ+1,10λ+8λ+1,−8λ+10λ+1)
Since P lies on the YZ - plane, the x-coordinate of P will be zero.
∴6λ+4λ+1=0
⇒6λ+4=0
⇒6λ=−4
∴λ=−23