Find the vector product of two vectors `vecA=4 hati+3 hatj+hatk and hatB =3 hat i+2 hat j+4 hat k`.

Explanation

To find the vector product (cross product) of the two vectors \(\vec{A} = 4\hat{i} + 3\hat{j} + \hat{k}\) and \(\vec{B} = 3\hat{i} + 2\hat{j} + 4\hat{k}\), we can use the determinant method.

### Step-by-Step Solution:

1. **Set up the determinant**: The cross product \(\vec{A} \times \vec{B}\) can be represented using a determinant of a 3x3 matrix:
\[
\vec{A} \times \vec{B} = \begin{vmatrix}
\hat{i} & \hat{j} & \hat{k} \\
...