Skip to content

Course home

1.13 J: Vectors

1.13 J: Vectors

EasyMediumHard
12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364656667686970
Question 48

Relative to a fixed origin OOO, the point A A\,A has position vector 4i−j+2k4\mathbf{i} - \mathbf{j} + 2\mathbf{k}4i−j+2k and the point B B\,B has position vector −2i+5j+8k-2\mathbf{i} + 5\mathbf{j} + 8\mathbf{k}−2i+5j+8k.

The point M M\,M lies on AB AB\,AB such that AM:MB=1:2AM : MB = 1 : 2AM:MB=1:2.

a.

Find the position vector of MMM.

[3]
b.

Find the exact distance OMOMOM.

[2]
c.

The point N N\,N is such that OANB OANB\,OANB is a parallelogram. Find the position vector of NNN.

[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