Skip to content

Course home

Sign up

1.13 J: Vectors

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687
Question 78

The points AAA, B B\,B and C C\,C have position vectors

a=2i−j+3k\mathbf{a} = 2\mathbf{i} - \mathbf{j} + 3\mathbf{k}a=2i−j+3k, b=5i+2j−k\mathbf{b} = 5\mathbf{i} + 2\mathbf{j} - \mathbf{k}b=5i+2j−k, c=i+4j+3k\mathbf{c} = \mathbf{i} + 4\mathbf{j} + 3\mathbf{k}c=i+4j+3k

a.

Find the position vector of the midpoint M M\,M of BCBCBC.

[2]
b.

Find ∣AM⃗∣\left|\vec{AM}\right|​AM​, giving your answer in exact form.

[2]
Markscheme

1.13 J: Vectors Questions

  1. A Level
  2. /Maths
  3. /1.13 J: Vectors

168 exam-style questions on AQA A Level Maths 1.13 J: Vectors, covering 1.13.1 Vectors in two and three dimensions, 1.13.2 Magnitude and direction of a vector, 1.13.3 Vector arithmetic, 1.13.4 Position vectors, and 1.13.5 Vectors to solve problems. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank