Skip to content

Course home

Sign up

Vectors

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231
Question 187

Points A,B,C A, B, C\,A,B,C and D D\,D have position vectors a=(13)\mathbf{a} = \begin{pmatrix} 1 \\ 3 \end{pmatrix}a=(13​), b=(36)\mathbf{b} = \begin{pmatrix} 3 \\ 6 \end{pmatrix}b=(36​), c=(75)\mathbf{c} = \begin{pmatrix} 7 \\ 5 \end{pmatrix}c=(75​), d=(5k)\mathbf{d} = \begin{pmatrix} 5 \\ k \end{pmatrix}d=(5k​)

a.

Given that k=5.5k=5.5k=5.5, show that D D\,D is the midpoint of BCBCBC

[1]
b.

Given that k=5k=5k=5 or k=1k=1k=1, show that ∣AD⃗∣=25|\vec{AD}|=2\sqrt{5}∣AD∣=25​ in each case

[3]
c.

Given that k=2k=2k=2, show that 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.

Question bank