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Vectors

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Question 10

OABC OABC\,OABC is a parallelogram with OA⃗=7a\vec{OA} = 7\mathbf{a}OA=7a and OC⃗=3c\vec{OC} = 3\mathbf{c}OC=3c. 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. 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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