The vectors `veca=3hati-2hatj+2hatkandvecb=-hati-2hatk` are the adjacent sides of a paralleogram. The angle between its diagonals is……. .

Explanation

To find the angle between the diagonals of the parallelogram formed by the vectors \(\vec{a} = 3\hat{i} - 2\hat{j} + 2\hat{k}\) and \(\vec{b} = -\hat{i} - 2\hat{k}\), we can follow these steps:

### Step 1: Identify the vectors
The vectors representing the adjacent sides of the parallelogram are:
\[ \vec{a} = 3\hat{i} - 2\hat{j} + 2\hat{k} \]
\[
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