Learning Outcomes
After completing this chapter, students should be able to do the following.
- Perform basic operations, including addition, scalar multiplication, and dot product, on vectors in .
- Perform basic operations, including addition and scalar multiplication, on geometric representations of vectors in and .
- Transition seamlessly between algebraic and geometric representations of vectors in or .
- Determine the angle between vectors and test for orthogonality.
- Project one vector onto another.
- Compute and interpret the cross product of two vectors in .
- Transition seamlessly between parametric and non-parametric forms of the equation of a line in .
- Transition seamlessly between parametric and vector forms of the equation of a line in .
- Determine the equation of a plane in meeting given characteristics.