- 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.
- Use the model to determine whether or not the octopus is able to catch fish \(F\).
- Criticise the model in relation to fish \(F\).
- Criticise the model in relation to the octopus.