For the two vectors `vecA=2hati-hatj` and `vecB=hati + alpha hatj+3hatk`, perpendicular to each other , find the value of a .

Explanation

To find the value of \(\alpha\) such that the vectors \(\vec{A} = 2\hat{i} - \hat{j}\) and \(\vec{B} = \hat{i} + \alpha \hat{j} + 3\hat{k}\) are perpendicular to each other, we will use the property that the dot product of two perpendicular vectors is zero.

### Step-by-Step Solution:

1. **Write down the vectors:**
\[ \vec{A} = 2\hat{i} - \hat{j} \]
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