See Post # 2 here.
Ok so the question goes like this:
a + b + c = 0
where a, b and c are three vectors
i) Show that a x b = b x c = c x a
ii) Explain what this means geometrically. (Your answer should refer to a triangle.)
I've done part i) but now I'm stuck on ii). I know that a x b, b x c, c x a refers to perpendiculars to each side of the triangle. However I don't see the significance of equal perpendiculars. Can anyone explain ii) to me?