1. Vectors (1)

2. Starter y x How would you describe the movement from; A to B (AB)5
How would you describe the movement from;
A to B (AB)
Translation 5 right and 2 up
B to A (BA)
Translation 5 left and 2 down
c) C to A (CB)
Translation 2 left and 4 up
d) D to B (DA)
Translation 6 up 4 B 3
5 2 2 A 1 x
−5 −2 -5 -4 -3 -2 -1 1 2 3 4 5 -1 -2
−2 4 C D -3 -4
0 6 -5

3. Vectors (1) Vectors are a way of describing movement
They have both a magnitude (size) and a direction
Eg) Speed is not a vector as it only has a magnitude
Velocity is a Vector as it will have a direction as well as magnitude

4. Vectors (1) Basic Vector work 2a 1/2a a -2a -a -1/2a
Vectors which are parallel will be represented by the same letter(s). If the distance is doubled, so is the quantity 2a
1/2a a
Vectors which are parallel but in the opposite direction are represented by the negative of the letter given
-2a -a
-1/2a

5. Vectors (1) C F B E A I D H G Which Vectors are equivalent to AB?
BC, DE, EF, GH, HI F B A E I
Which Vectors are equivalent to CI?
BH, AG D H G
Which Vectors are equivalent to GE?
DB, EC, HF
Which Vectors are equivalent to AF? DI

6. Vectors (1) Combining Vectors b a b b+a a a a+b b
You can combine Vectors by addition or subtraction b a
The order is not important, but it is important to note that the final Vector is a straight line, NOT the 2 separate Vectors together… b
b+a a a
a+b b

7. Vectors (1) Combining Vectors b a -b a -b+a a-b a -b
You can combine Vectors by addition or subtraction b a
The order is not important, but it is important to note that the final Vector is a straight line, NOT the 2 separate Vectors together… -b a
-b+a
a-b a -b

8. Plenary
-a + b b a
-2a + 2b
-a + b
-2a + 2b

9. Summary We have recapped Translations
We have seen how Vectors are used to represent directions
We have learnt how to combine Vectors by addition or subtraction