1. Dot Product and Orthogonal

2. Dot product…? Does anyone here know the definition of work? Is it the same as me saying I am standing here working hard? To understand what is involved in real work, we turn to a new vector operation called the dot product. The dot product of two vectors result in a scalar (a real number) This is different from the other 2 vector operations you learned (vector addition and scalar multiplication) which their results were vectors.

3. Dot product

4. Examples

5. Deriving an alternate Dot Product Formula (based on the angle between the vectors) u w v

7. Example:

8. Parallel Vectors

9. Orthogonal

10. The Zero Vector

11. Homework Page 719 #1-32 ALL