The distance between two points in space `A (2,y,-3) and (1,-1,4)` is 9 . Find the possible values of y .

Explanation

To find the possible values of \( y \) such that the distance between the points \( A(2, y, -3) \) and \( B(1, -1, 4) \) is 9, we can use the distance formula in three-dimensional geometry.

### Step-by-Step Solution:

1. **Write down the distance formula**:
The distance \( d \) between two points \( A(x_1, y_1, z_1) \) and \( B(x_2, y_2, z_2) \) in three-dimensional space is given by:
\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2}
...