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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).



Answer -

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

Hence, bysection formula, the coordinates of point of intersection are given by

On the YZplane, the x-coordinate of any pointis zero.

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

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