The vector from origion to the point A and B are `vec(A)=3hat(i)-6hat(j)+2hat(k)` and `vec(B)=2hat(i)+hat(j)-2hat(k)`,respectively. Find the area of the triangle OAB.

Explanation

To find the area of triangle OAB formed by the origin O and points A and B given by the vectors \(\vec{A} = 3\hat{i} - 6\hat{j} + 2\hat{k}\) and \(\vec{B} = 2\hat{i} + \hat{j} - 2\hat{k}\), we can follow these steps:

### Step 1: Find the cross product \(\vec{A} \times \vec{B}\)

The area of triangle OAB can be calculated using the formula:

\[
\text{Area} = \frac{1}{2} |\vec{A} \times \vec{B}|
...