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 \(\vec{b}=\begin{bmatrix}3\\4\\1\end{bmatrix}\).

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