Calculate the sine of the angle between the vectors
`vecA=3hati-4hatj+5hatk and vecB=-2hati+hatj-2hatk` .

Explanation

To calculate the sine of the angle between the vectors \(\vec{A} = 3\hat{i} - 4\hat{j} + 5\hat{k}\) and \(\vec{B} = -2\hat{i} + \hat{j} - 2\hat{k}\), we can use the relationship between the cross product and the sine of the angle between two vectors.

### Step-by-step Solution:

1. **Identify the vectors**:
\[ \vec{A} = 3\hat{i} - 4\hat{j} + 5\hat{k} \]
...