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

Explanation

To find the ratio in which the line segment joining the points \( A(4, 8, 10) \) and \( B(6, 10, -8) \) is divided by the YZ-plane, we will 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 an x-coordinate of 0.

### Step 2: Set up the section formula
Let the point where the line segment \( AB \) intersects the YZ-plane be \( M(x, y, z) \). According to the section formula, if a point \( M \) divides the line segment joining points \( A(x_1, y_1, z_1) \) and \( B(x_2, y_2, z_2) \) in the ratio \( \lambda : 1 \), then the coordinates of \( M \) can be given as:

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