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1. Show that the cross product is a continuous function.
I have tried to apply the definition of continuity: find a delta such that
|x-y|< delta implies |f(x)-f(y)|< epsilon
but I'm having trouble making sense of what |x-y| is.
As I see it, x is a pairs of vectors in R^3 and so is y. Then what is |x-y|? and how do I get to the conclusion?
The Attempt at a Solution
I have tried to apply the definition of continuity: find a delta such that
|x-y|< delta implies |f(x)-f(y)|< epsilon
but I'm having trouble making sense of what |x-y| is.
As I see it, x is a pairs of vectors in R^3 and so is y. Then what is |x-y|? and how do I get to the conclusion?