Find the ratio in which the line segment joining the points (2, -4, 3) and (-4, 5, -6) is divided by the yz-plane.
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Question

Find the ratio in which the line segment joining the points (2, -4, 3) and (-4, 5, -6) is divided by the yz-plane.

Accepted Answer

The yz-plane divides any line segment in the ratio $-x1/x2$. Here $x1 = 2$ and $x2 = -4$. So the ratio is $-2 / (-4) = 2/4 = 1:2$ internally.

Introduction to Three Dimensional Geometry