1. Vectors - Adding two angle magnitude vectors Contents: The basic concept Step by step Sample problem

2. Vectors - AM + AM - Basics TOC A: B: Suppose you had to add these two vectors

3. Vectors - AM + AM - Basics TOC A: B: Graphically you would place them tip to tail: A + B

4. Vectors - AM + AM - Basics TOC A: B: The components of the sum are the sum of the components. A + B

5. Vectors - AM + AM - Step 1 TOC A: B: Step 1: Break them into components 7 3 4 2

6. Vectors - AM + AM - Step 1 TOC A: B: Step 1: A = 3 x + 7 y B = 4 x + 2 y 7 3 4 2

7. Vectors - AM + AM - Step 2 TOC A: B: Step 2: A = 3 x + 7 y B = 4 x + 2 y A+B= 7 x + 9 y 7 3 4 2 Add like components

8. Vectors - AM + AM - Step 3 TOC Step 3: A = 3 x + 7 y B = 4 x + 2 y A+B= 7 x + 9 y Find the new AM vector A + B 7 9 tan -1 (9/7) = 52 o  (7 2 + 9 2 ) = 11

9. 8.19, 120. o W Add these two angle magnitude vectors, and express their sum as an angle magnitude vector. Draw the resultant vector, and find its trig angle. 48.0 o 7.00 A B 9.00 78.0 o 1. AM to VC AM to VC 2. VC + VC 3. AM to VC A = 4.684 x + 5.202 y B = -8.803 x + 1.871 y A + B = -4.119 x 7.073 y