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Vectors

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Question 3

OABC OABC\,OABC is a parallelogram with OA⃗=a\vec{OA} = \mathbf{a}OA=a and OC⃗=c\vec{OC} = \mathbf{c}OC=c. 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 a\mathbf{a}a and c\mathbf{c}c, simplifying your answers.

(i) AC→\overrightarrow{AC}AC

(ii) OM→\overrightarrow{OM}OM

[3]
b.

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

[4]
Markscheme

Vectors Questions

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

20 exam-style questions on Edexcel AS 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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