1. How do we add and subtract vectors?

2. Vector Addition
Last year, we learned the head to tail method of vector addition and the parallelogram method of vector addition. Compare the resultant using each method.

3. More examples of vector addition

4. Vector Subtraction
Can you explain a rule for graphically subtracting vectors?

5. Vocabulary
Commutative-having the property that one term operating on a second is equal to the second operating on the first Anti-Commutative-having the property that one term operating on a second is equal to the negative of the second operating on the first Associative-states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' we mean 'how you use parenthesis'. In other words, if you are adding or multiplying it does not matter where you put the parenthesis. Add some parenthesis any where you like!.

6. Adding Vectors Algebraically
Which set of vectors would be easier to add?
A= 7i + 3j and B=-2i +12j Or
2) A=8< and B=5 <275

7. Adding vectors Algebraically

8. Adding vectors algebraically
Find the x- and y- components of each vector. Add the x- and y- components of each vector. Draw a resultant vector. Determine the magnitude of the resultant with the Pythagorean Theorem. Calculate the angle of the displacement using Inverse Tangent