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Vectors Proof Questions

Vectors Proof Questions

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Question 18

The diagram shows a parallelogram.

Diagram of a parallelogram OABC. Vector OA is labeled 2a and vector OB is labeled 2b. Point D is on the diagonal OC such that OD:DC = 2:1. Point E is the midpoint of side BC. The vectors OA and OB are shown with arrows indicating their direction from the origin O.

OA⃗=2a \vec{OA} = 2\mathbf{a} OA=2a OB⃗=2b \vec{OB} = 2\mathbf{b} OB=2b

D D\,D is the point on OC OC\,OC such that OD:DC=2:1OD:DC = 2:1OD:DC=2:1 E E\,E is the midpoint of BCBCBC

Show that AAA, D D\,D and E E\,E are on the same straight line.

[4]
Markscheme

Vectors Proof Questions Questions

  1. GCSE
  2. /Maths
  3. /Vectors Proof Questions

23 exam-style questions on AQA GCSE Maths Vectors Proof Questions. Each one has a worked solution and a mark scheme showing where the marks go.

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