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Vectors

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Question 164

Points A,B,C A, B, C\,A,B,C and D D\,D have position vectors a=(3−4)\mathbf{a} = \begin{pmatrix} 3 \\ -4 \end{pmatrix}a=(3−4​), b=(98)\mathbf{b} = \begin{pmatrix} 9 \\ 8 \end{pmatrix}b=(98​), c=(211)\mathbf{c} = \begin{pmatrix} 21 \\ 1 \end{pmatrix}c=(211​), d=(15k)\mathbf{d} = \begin{pmatrix} 15 \\ k \end{pmatrix}d=(15k​)

a.

Find the value of k k\,k for which D D\,D is the midpoint of BCBCBC

[1]
b.

Find the two values of k k\,k for which ∣AD⃗∣=65|\vec{AD}| = 6\sqrt{5}∣AD∣=65​

[3]
c.

Find the value of k k\,k for which ABCD ABCD\,ABCD is a parallelogram.

[2]
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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