Recent content by bookworm_07

oh ok, i was just trying anything really. my biggest problem is using ||f(u) - f(v)|| = ||u - v|| to show that f(u) x f(v) = +- f(u x v) i just don't know how to relate the two, I don't want you to give me the answer AKG, i would much rather understand what i am suppose to do then get...

Ok I know that isometries preserve distance and in order for a fn to be an isometry || f(u) - f(v) || = || u - v || and in this question it asks to prove prove that if an isometry satisfies f(0) = 0 then we have f(u) x f(v) = +- f(u x v) and what property of f determines the choice of...

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f(v) = (the matrix) |cosx sinx | |sinx -cosx |(v) If x is in R and f: R^2 --> R^2 show that f is a reflection in a line L through the origin, and find the line of reflection. im having trouble figureing this out, i know that i need to find a line L fixed by f, and then to...