Vectors Proof Questions

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Hard

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.

\vec{OA} = 2\mathbf{a}

\vec{OB} = 2\mathbf{b}

$D\,$ is the point on $OC\,$ such that $O D : D C = 2 : 1$ $E\,$ is the midpoint of $B C$

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

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Vectors Proof Questions Questions

Practise Eduqas GCSE Maths Vectors Proof Questions with exam-style questions for Foundation and Higher tier. 24 questions, matched to the Eduqas GCSE Maths (C300QS) specification and written in Component 1 and Component 2 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.