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Vectors

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Question 25

OABC OABC\,OABC is a parallelogram with AC⃗=d\vec{AC} = \mathbf{d}AC=d and OM⃗=m\vec{OM} = \mathbf{m}OM=m. M M\,M is the midpoint of OBOBOB.

Diagram of a parallelogram OABC. Vertex O is at the bottom-left, A is at the top-left, B is at the top-right, and C is at the bottom-right. A diagonal line segment connects O and B. Point M is marked as the midpoint of this diagonal OB.

a.

Find in terms of d\mathbf{d}d and m\mathbf{m}m, simplifying your answers.

(i) OA→\overrightarrow{OA}OA

(ii) OC→\overrightarrow{OC}OC

[3]
b.

Hence prove that the diagonals of a parallelogram bisect one another.

[4]
Markscheme

Vectors Questions

  1. A Level
  2. /Maths
  3. /Vectors

284 exam-style questions on Edexcel A Level Maths Vectors, covering 11.1 Vectors, 11.2 Representing Vectors, 11.3 Magnitude and Direction, 11.4 Position Vectors, 11.5 Solving Geometric Problems, and 11.6 Modelling with Vectors. Each one has a worked solution and a mark scheme showing where the marks go.

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