Vectors (2).

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Presentation transcript:

Vectors (2)

Starter Write in terms of a and b: b CA -a A B BC -b + a or a - b a CD BD -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

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

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

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

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