1. Homework Questions

2. Chapter 6 Section 6.1 Vectors

3. Vectors These are directed line segments

4. Initial Point vs. Terminal Point Let u be the vector from R(-4, 2) to S(-1, 6) and v be the vector from Q(0, 0) to P(3, 4). Prove u=v

5. Use the distance formula Therefore, RS=QP, so u=v

6. Standard Position Starts at the origin Component Form - Also called the position of the vector of the point (v 1, v 2 )

7. Plot the vector

8. If not in Standard Position… V 1 = x 2 -x 1 V 2 = y 2 -y 1 OR V =

9. Find the component form: P = (-3, 4) Q = (4, 9) R = (-2, 5) S = (2, -8) Find PQ Find QR Find RS

10. Magnitude This really just means length Distance formula

11. Find the magnitude Of RS from before

12. Find of PS

13. Vector Addition and Scalar Mult u+v = + = ku = k

14. Solve u = v = Find u+v Find 3u Find 2u+(-1)v

15. Direction Angles v =

16. Finding the components of a vector: 1.Find the components of the vector v with direction angle 115° and magnitude 6.

17. Examples 2.Find the components of the vector v with direction angle 120° and magnitude 10.

18. Examples 3.Find the components of the vector v with direction angle 45° and magnitude 8.

19. Examples 4.Find the components of the vector v with direction angle 210° and magnitude 24.

20. Finding Direction Angles 5.r =

21. Finding Direction Angles 6.p = 3i + 7j 7.p = -6i + 2j 8.

22. HOMEWORK Pg. 511 (1-35 odd) Remember, you can check in the back of the book to make sure you are doing these correctly! Come with questions ready!