Find the angle between the vectors ` hat i-2 hat j+3k`and `3 hat i-2 hat j+k`

Explanation

To find the angle between the vectors \( \mathbf{a} = \hat{i} - 2\hat{j} + 3\hat{k} \) and \( \mathbf{b} = 3\hat{i} - 2\hat{j} + \hat{k} \), we will use the formula for the cosine of the angle between two vectors, which is given by:

\[ \cos \theta = \frac{\mathbf{a} \cdot \mathbf{b}}{|\mathbf{a}| |\mathbf{b}|} \]

### Step 1: Calculate the dot product \( \mathbf{a} \cdot \mathbf{b} \)

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