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1.10 Vectors

1.10 Vectors

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Question 81

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

1.10 Vectors Questions

  1. A Level
  2. /Maths
  3. /1.10 Vectors

197 exam-style questions on OCR A Level Maths 1.10 Vectors, covering 1.10.1 Vectors in two dimensions, 1.10.2 Vectors in three dimensions (A-level only), 1.10.3 Magnitude and direction of vectors, 1.10.4 Basic operations on vectors, 1.10.5 Position vectors, 1.10.6 Distance between points, 1.10.7 Problem solving using vectors, 1.10.8 Vectors in kinematics, and 1.10 Vectors. Each one has a worked solution and a mark scheme showing where the marks go.

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