Check whether the three vectors `2hati+2hatj+3hatk, vecb=-3hati+3hatj+2hatk and vecc=3hati+4hatk` form a triangle or not.

Explanation

To determine whether the three vectors \( \vec{a} = 2\hat{i} + 2\hat{j} + 3\hat{k} \), \( \vec{b} = -3\hat{i} + 3\hat{j} + 2\hat{k} \), and \( \vec{c} = 3\hat{i} + 4\hat{k} \) form a triangle, we need to check if the sum of these vectors equals zero. If the sum is zero, then the vectors form a closed figure, which means they can form a triangle.

### Step-by-Step Solution:

1. **Write down the vectors**:
\[ \vec{a} = 2\hat{i} + 2\hat{j} + 3\hat{k} \]
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