1. The problem statement, all variables and given/known data Use vectors to demonstrate that on a circle any two diametrically opposed points along with an arbitrary third point(on the circle) form a right triangle 2. Relevant equations Hint: assume without a loss of generality that the circle is centered at the origin and let v, -v, and w denote the three points in question. show that the vector connecting w to -v is orthogonal to the vector connecting w to v 3. The attempt at a solution i think i have a grasp on how to achieve this. to show that they are orthogonal the dot product of the two vectors must be 0. I am confused with the v and -v. In my mind that makes a straight line for example say that v is (1,0) then -v would be (-1,0). I dont see how those two points along with a third make a right triangle.