If the vectors `3 hat i+m hat j+ hat k\ a n d\ 2 hat i- hat j-8 hat k` are orthogonal, find `mdot`

Explanation

To solve the problem, we need to find the value of \( m \) such that the vectors \( \mathbf{A} = 3\hat{i} + m\hat{j} + \hat{k} \) and \( \mathbf{B} = 2\hat{i} - \hat{j} - 8\hat{k} \) are orthogonal. Two vectors are orthogonal if their dot product is zero.

### Step-by-Step Solution:

1. **Write down the vectors:**
\[ \mathbf{A} = 3\hat{i} + m\hat{j} + \hat{k} \]
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