The line joining the points `(-2,1,-8)a n d(a ,b ,c)` is parallel to the line whose direction ratios are `6,2,and 3.` Find the values of `a ,b and c. `

Explanation

To solve the problem, we need to find the values of \( a \), \( b \), and \( c \) such that the line joining the points \((-2, 1, -8)\) and \((a, b, c)\) is parallel to the line with direction ratios \(6, 2, 3\).

### Step-by-Step Solution:

1. **Identify the direction ratios of the line joining the points**:
The direction ratios of the line joining the points \((-2, 1, -8)\) and \((a, b, c)\) can be expressed as:
\[
(a + 2, b - 1, c + 8)
...