1. Vectors and Scalars Scalars are quantities which have magnitude only
Vectors have both magnitude and direction
To identify a vector fully you must give both its magnitude and its direction

2. Scalars Vectors distance mass temperature speed Time charge volume
displacement
force
velocity
acceleration
magnetic field strength
weight

8. 40N

9. 30N

10. 30N
40N

11. 30N
50N
40N

12. 20N
20N

13. 20N
20N

14. Adding Vectors Draw the vectors to scale.
Place the vectors nose to tail.
Draw a line in to complete the triangle.
The length of the new line is the sum of the vectors.
It is also possible to add vector quantities algebraically. We will do this in easy cases.

15. The vector parallelogram

16. Adding Vectors
Because of the parallelogram rule it doesn’t really matter if the tails of the vectors are put together. You will still get the same diagonal.
This is often more convenient. (Mathematicians call it using based vectors)

17. The vector parallelogram

18. Using Mathematics
You will be expected to be able to add two vectors which are at right angles using the Pythagoras theorem.

19. Example
A rowing boat is rowed 12 metres across a fast stream towards a point on the bank directly opposite. The current carries the boat 8 metres at right angles to this. What is the total distance travelled by the boat 8m
12m

20. Example
A rowing boat is rowed 12 metres across a fast stream towards a point on the bank directly opposite. The current carries the boat 8 metres at right angles to this. What is the total distance travelled by the boat 8m
12m

21. Example
A rowing boat is rowed 12 metres across a fast stream towards a point on the bank directly opposite. The current carries the boat 8 metres at right angles to this. What is the total distance travelled by the boat 8m
12m

22. A rowing boat is rowed 12 metres across a fast stream towards a point on the bank directly opposite. The current carries the boat 8 metres at right angles to this. What is the total distance travelled by the boat 8m
12m