1. Vectors (2)

2. Starter Write in terms of a and b: b CA -a A B BC -b + a or a - b a CDBD
-b + a + 2b
= a + b DB
-a - b
AC = a
AB = b
M is the midpoint of CD. Write in terms of a and b:
CD = 2AB BM
-b + a + b
= a

3. Vectors (2) Parallel Vectors
Parallel Vectors are multiples of one another 1 x
x + y y y
Vector 1: x + y x 3
Vector 2: 2x + 2y
= 2(x + y) 2 y
3x + 3y
Vector 3: 3x + 3y
= 3(x + y) y
2x + 2y y y y x x x x x

4. Vectors (2) Parallel Vectors
Parallel Vectors are multiples of one another b a
Vector 1: a + b b 2
Vector 2: 2a + 2b
= 2(a + b) b 1 a b
2a + 2b a a
a + b

5. Plenary DC = -2b + a + b PQ = 1/2a + 1/2b a - b = a - b RS =
FA = a - b
+ 2b
+ 1/2a – 1/2b
RS =
a + b
a - b
= 2PQ

6. Summary We have continued our learning on Vectors
We have seen that parallel vectors are multiples of each other
We have seen how to use this idea in proof