If `vecA= 4hati+nhatj-2hatk and vecB=2hati+3hatj+hatk`, then findt the value of n so that `vecA bot vecB`.

Explanation

To find the value of \( n \) such that the vectors \( \vec{A} \) and \( \vec{B} \) are perpendicular, we need to use the property that the dot product of two perpendicular vectors is zero.

1. **Define the vectors**:
\[ \vec{A} = 4\hat{i} + n\hat{j} - 2\hat{k} \]
\[
\vec{B} = 2\hat{i} + 3\hat{j} + \hat{k}
...