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

2. Vectors - AM + AM - Basics
Suppose you had to add these two vectors

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

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

5. Vectors - AM + AM - Step 1 Step 1: Break them into components B: A: 73 B: A: 4 2
Step 1:
Break them into components

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

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

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

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