Find the ratio in which the `y-z` plane divides the join of the points `(-2,4,7)a n d(3,-5,8)dot`

Explanation

To find the ratio in which the \( y-z \) 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 Problem
The \( y-z \) plane is defined by the equation \( x = 0 \). We need to find a point \( P(x, y, z) \) on the line segment \( AB \) such that \( x = 0 \).

### Step 2: Use the Section Formula
Let the ratio in which the \( y-z \) plane divides the line segment \( AB \) be \( \lambda:1 \). According to the section formula, the coordinates of point \( P \) dividing the line segment \( AB \) in the ratio \( \lambda:1 \) are given by:

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