Students will be able to
- define the cross product of two vectors as the product of the magnitudes multiplied by the sine of the angle between the vectors,
- calculate the cross product of two vectors in space using their components (i.e., a determinant),
- understand the properties of the cross product in 3D,
- use the geometric meaning of cross product to solve problems, in particular, finding lengths or areas.
Students should already be familiar with
- adding and subtracting vectors in 3D,
- dot product in 3D,
Students will not cover
- parallelism condition using vector product,
- scalar triple product,
- vector triple product.