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1.11 Vectors

1.11 Vectors

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Question 33

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

1.11 Vectors Questions

  1. A Level
  2. /Maths
  3. /1.11 Vectors

168 exam-style questions on OCR (MEI) A Level Maths 1.11 Vectors, covering 1.11.1 Language of vectors in two dimensions, 1.11.2 Add, subtract and scale vectors, 1.11.3 Magnitude and direction of a vector, 1.11.4 Position vectors, 1.11.5 Distance between points by position vectors, 1.11.6 Vectors to solve problems, 1.11.7 Language of vectors in three dimensions (A-level only), and 1.11 Vectors. Each one has a worked solution and a mark scheme showing where the marks go.

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