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Find the ratio in which the YZplane divi...

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

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To find the ratio in which the YZ-plane divides the line segment joining the points A(-2, 4, 7) and B(3, -5, 8), we can follow these steps: ### Step 1: Understand the YZ-plane The YZ-plane is defined by the equation x = 0. This means we need to find the point on the line segment AB where the x-coordinate is 0. ### Step 2: Use the section formula Let the point P that divides the line segment AB in the ratio k:1 be given by the coordinates: \[ P(x, y, z) = \left( \frac{k \cdot x_2 + 1 \cdot x_1}{k + 1}, \frac{k \cdot y_2 + 1 \cdot y_1}{k + 1}, \frac{k \cdot z_2 + 1 \cdot z_1}{k + 1} \right) \] ...
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