Edexcel A Level Maths: Pure

Revision Notes

11.1.4 Position Vectors

What is a position vector?

  • Position vectors describe the position of a point in relation to the origin
  • They are different to direction vectors which describe the direction and distance between any two points

 

Position Vectors Diagram 1, AS & A Level Maths revision notes

Distance between two points

  • The distance between two points is the magnitude of the vector between them (see Magnitude Direction)

 

Position Vectors Diagram 2a, AS & A Level Maths revision notes

  • For position vectors we can find the distance between two points by using the respective co-ordinates

 

Position Vectors Diagram 2b, AS & A Level Maths revision notes

Exam Tip

Remember if asked for a position vector, you must find the vector all the way from the origin. Diagrams can help, if there isn’t one, draw one.

Worked Example

Position Vectors Example Solution, AS & A Level Maths revision notes

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