11 HL: The Cross Product

Here are a couple of short questions that you might want to look at over the break. Have a great break everyone!

1. Find the area of the triangle with vertices A(1, 1, 2), B(3, –1, 0), and C(0, –2, –1).
2. Find a vector orthogonal to both $\vec{a}=\begin{bmatrix}1\\2\\-2\end{bmatrix}$ and $\vec{b}=\begin{bmatrix}3\\4\\1\end{bmatrix}$.