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@katemath @ramellus I think it's convenient in calculus to treat all Euclidean vectors as members of R^3 so you can, say, take the magnitude of the cross product of R^2 vectors to compute torque. So to be consistent, I suppose 0=(0,0) in calculus, since I'd say (x,y)=(x,y,0).On twitter.com
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@katemath @ramellus I find myself (probably in vain) defending this to students by asking them how they'd define things for a computer, who has no intuition. I certainly wouldn't bother writing a Euclidean points class separately from a Euclidean vectors class.Permalink On twitter.com