The Cross Product Worksheet with Answer Key

What's on the worksheet

1. Find each cross product.
   \langle 3, -2, 1 \rangle \times \langle 1, 4, -2 \rangle\langle 0, 5, -3 \rangle \times \langle 2, 0, 4 \rangle(2\mathbf{i} - \mathbf{j}) \times (\mathbf{i} + 3\mathbf{k})\langle -4, 1, 2 \rangle \times \langle 3, -1, 5 \rangle
2. Take x east, y north and z up.
3. Vectors u and v in space have \|u\| = 3, \|v\| = 7 and u · v = -16.
4. A gem cutter models one triangular facet of a cut stone.
5. The parallelogram spanned by 2, 1, k and 1, -1, 0 has area 9.
6. Let A(2, -1, 3) and B(4, 3, 1).