** 16.T Three-dimensional (3D) vectors and the cross product;
applied max/min problems I**

** Reference: ** Stewart 11.2, 11.4, 3.8

** Keywords: ** 3D vectors, determinant, cross product, right-hand rule,
scalar triple product, optimization, applied max/min problems

** Learning Objectives: ** The student will be able to:

- Use the bracket notation and the
**i, j, k**notation for 3D vectors - Perform basic arithmetic and algebraic computations with 3D vectors
- Represent a 3D vector graphically in a 3D rectangular coordinate system
- Compute the cross product of two 3D vectors
- Evaluate determinants of orders 2 and 3
- Evaluate the scalar triple product of three 3D vectors, and explain its geometrical interpretation
- Implement the steps in solving applied maximum and minimum problems:
- Read and understand the problem.
- Draw a diagram when appropriate; introduce notation.
- Use constraints to eliminate extra variables.
- Use calculus to find absolute maximum or minimum value of quantity to be optimized.

** 16.R Applied maximum and minimum
problems II**

** Reference: ** Stewart 3.8

** Keywords: ** Optimization, applied max/min problems

** Learning Objectives: ** The student will be able to:

- Solve applied maximum and minimum problems