1. Warm up:

3. Problem: What is the angle between the vectors (1,2) and (-1, 3)?

4. The Dot Product Section 7.3 and 7.4

5. The Dot Product of two vectors: Use this definition to show that

6. Problem: Write two vectors with the following properties: a)A dot product of 0:

7. Problem: Write two vectors with the following properties: a)A dot product of 0: b)A dot product that is negative: c)A dot product that is positive: d)What do you notice?

8. Problem:

9. What does this mean?

10. Summary: What does the dot product help us do? What is the formula for the dot product? What does it mean if the dot product of two vectors = 0? What would it mean if a dot product is negative? Positive?

11. Summary: What does the dot product help us do? What is the formula for the dot product? What does it mean if the dot product of two vectors = 0? What would it mean if a dot product is negative? Positive? What is the geometric interpretation of a vector that is perpendicular to non-collinear vectors? Practice: Pg. 385 #1, 2, 3, 4, 6, 13, 19

12. Problem: