(Solved): Find the area of the parallelogram that has two adjacent sides \( \mathbf{u}=2 \mathbf{i}-2 \mathb ...

Find the area of the parallelogram that has two adjacent sides \( \mathbf{u}=2 \mathbf{i}-2 \mathbf{j}-2 \mathbf{k} \) and \( \mathbf{v}=3 \mathbf{i}+2 \mathbf{j}-2 \mathbf{k} \) Find \( \mathbf{u} \times \mathbf{v} \) \[ \mathbf{u} \times \mathbf{v}=() \mathbf{i}+() \mathbf{j}+() \mathbf{k} \] (Simplify your answer.) The area of the parallelogram is (Simplify your answer. Type an exact answer, using radicals as needed.)