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Find the Ratio in Which the Yz-plane Divides the Line Segment Formed by Joining the Points (–2, 4, 7) and (3, –5, 8).

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Question

Find the ratio in which the YZ-plane divides the line segment formed by joining the points (–2, 4, 7) and (3, –5, 8).

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Solution

Let the YZ planedivide 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

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