Edexcel CP AS Specimen — Question 9

Exam BoardEdexcel
ModuleCP AS (Core Pure AS)
SessionSpecimen
TopicVectors 3D & Lines

  1. An octopus is able to catch any fish that swim within a distance of 2 m from the octopus's position.
A fish \(F\) swims from a point \(A\) to a point \(B\). The octopus is modelled as a fixed particle at the origin \(O\). Fish \(F\) is modelled as a particle moving in a straight line from \(A\) to \(B\). Relative to \(O\), the coordinates of \(A\) are \(( - 3,1 , - 7 )\) and the coordinates of \(B\) are \(( 9,4,11 )\), where the unit of distance is metres.
  1. Use the model to determine whether or not the octopus is able to catch fish \(F\).
  2. Criticise the model in relation to fish \(F\).
  3. Criticise the model in relation to the octopus.