I need a verification on my proof for the above question.
Vectors are orthogonal or perpendicular if their dot product is zero.
Suppose a vector u has at least one non zero components(u1,u2...un) where these component can be positive or negative component and a vector v has components also has at least one non zero component (v1,v2...vn) where these components are positive or negative.
Then the dot product u1v1 + u2v2 + unvn = 0 if the components are inverse identity of each other.
Edited by warnexus, 11 December 2013 - 09:23 AM.