Vectors Proof Questions

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A geometric diagram showing a triangle OAD with vertex O at the origin. Point A is above O, and point D is on the segment OA. Point B is on the horizontal line extending from O through E. Vector OA is labeled 5a and vector OB is labeled 2b. The line OB is extended to point E.

\vec{OA} = 5\mathbf{a}

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

$C\,$ is the point on $OA\,$ such that $O C : C A = 4 : 1$ $D\,$ is the point such that $A D : D B = 1 : 2$ The line $OB\,$ is extended to point $E\,$ Given that $C$ , $D\,$ and $E\,$ are on the same straight line

Find $BE⃗\vec{BE}$ .

[5]

Vectors Proof Questions Questions

Practise AQA GCSE Maths Vectors Proof Questions with exam-style questions for Foundation and Higher tier. 24 questions, matched to the AQA GCSE Maths (8300) specification and written in Paper 1, Paper 2 and Paper 3 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.