Question

find the coordinates of all points ,p, on the x axis so that the line through A(-3,2) and P is perpendicular to the line through B(2,7) and P

Answer 1

drawing

Answer 2

i would go at this using vectors cause it's mechanical and just works; but there's no doubt a bunch of other approaches. you could draw this and get out a compass and protractor, if you liked. you could use calculus.

so, what are you learning, right now? do you want to have a crack at it in a particular way??

Answer 3

one thing you can do is impose Pythagoreas on it

it's a right angle so it has to satisfy Pythag



ie plug in for \(AB^2 = PA^2 + PB^2\) and see where you go