Skip to content

Course home

Sign up

Vectors

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212
Question 120

Relative to a fixed origin OOO, the point A A\,A has position vector (2i−j+k)(2\mathbf{i} - \mathbf{j} + \mathbf{k})(2i−j+k), the point B B\,B has position vector (3i−3j)(3\mathbf{i} - 3\mathbf{j})(3i−3j), and the point C C\,C has position vector (i−2j−k)(\mathbf{i} - 2\mathbf{j} - \mathbf{k})(i−2j−k).

a.

Find BC⃗\vec{BC}BC

[2]
b.

Find CB⃗\vec{CB}CB

[1]
c.

Show that the quadrilateral OABC OABC\,OABC is a parallelogram, giving reasons for your answer.

[2]
Markscheme

Vectors Questions

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

309 exam-style questions on Edexcel A Level Maths Vectors, covering 12.1 3D Coordinates, 12.2 Vectors in 3D, 12.3 Solving Geometric Problems, and 12.4 Application to Mechanics. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank