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## Homework Statement

A person starts at coordinates (-2, 3) and arrived at coordinates (0, 6). If he began walking in the direction of the vector v=3i+2j and changes direction only once, when he turns at a right angle, what are the coordinates of the point where he makes the turn.

## Homework Equations

projection of u onto v = (u dot v/abs(v)^2)(v)

scalar projection = abs(u)cos([tex]\theta[/tex])

## The Attempt at a Solution

I'm not even sure what equations to use! I'm looking at the problem trying to think about ways I can handle it, but nothing works. I've tried moving the first point to the origin and moving the second point to its corresponding point from the first, then I can get the vector of those two points. Then take the vector of where he first started walking to then project it onto the first, then that gives me the projection of the second onto the first. I can get the scalar projection as well, but how am I supposed to get the points at which he stops and turns?