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Find the ratio in which the line segmen...

Find the ratio in which the line segment joining the points `(4, 8, 10)`and `(6, 10 , -8)`is divided by the YZplane.

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To find the ratio in which the line segment joining the points \( P(4, 8, 10) \) and \( Q(6, 10, -8) \) is divided by the YZ-plane, we can follow these steps: ### Step 1: Understand the YZ-plane The YZ-plane is defined by the equation \( x = 0 \). This means that any point on the YZ-plane will have its x-coordinate equal to 0. ### Step 2: Set up the ratio Let the line segment \( PQ \) be divided by the YZ-plane in the ratio \( k:1 \). This means we can express the coordinates of the point \( R \) (where the line segment intersects the YZ-plane) as a weighted average of the coordinates of points \( P \) and \( Q \). ...
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