1. Aim: How do we add vectors graphically?

2. What are vectors? Vectors have magnitude and directions.
The vector’s magnitude is represented by the length of the arrow.
The direction of a vector is indicated by the direction in which the head points.

3. Examples of Vectors
All vectors can be represented with arrows and can be added the same way. List 4 examples of vectors that we have discussed.

4. Vectors of different magnitudes

5. What is the direction of the given vector?
Write a sentence explaining why saying the vector is northeast is not adequate in physics.

6. Vectors in One Dimension
What is the largest and smallest resultant two 5 N vectors can produce?
What is the largest and smallest resultant a 5 N and 10 N vector can produce?

7. Vectors Addition
In order to add vectors, we use the head to tail method. We draw vector A and vector B. We connect the tail of vector B to the head of vector A.

8. Vector Addition

9. Resultant
We then draw a straight line from the tail of vector A to the head of vector B. This is called the Resultant. The Resultant is the sum of vectors A and B.
Resultant

10. Examples of vector addition

11. Adding Vectors Graphically
When adding vectors graphically, we must do the following:
Draw the vectors using a scale. Draw them in the correct directions.
Add vectors graphically.
Draw Resultant.
Measure the length of the resultant.
Measure the angle and direction of the resultant.

12. Problem 1
A car is driven 125 km due west, then 65 km due south. What is the displacement? (Magnitude of Resultant)
Compare the displacement with the distance traveled
141 km, 27 degrees south of west

14. Problem 2
2) A hiker walks 4.5 km east and then walks in a direction 45 degrees north of east for 6.4 km. What is the magnitude of her displacement? Compare the displacement with the distance traveled
10 km, 25.5 degrees north of east