- #1
beeftrax
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In the "intro to differential forms" thread by lethe, Super Mentor Tom defines a vector as something that transforms under rotation (multiplication by an orthogonal matrix) and parity (reflection through a mirror) in a certain way. I'm currently reading "Introduction to Vector and Tensor Analysis" by Robert Wrede, which uses the transformations of rotation and translation instead. So I have two questions:
1). Why explicitly define how a vector must change in a parity transformation? Isn't this just a special case of rotation, with the angle being 180?
2). Are Tom and Wrede actually defining two different types of vectors, or defining the same thing in two different ways?
1). Why explicitly define how a vector must change in a parity transformation? Isn't this just a special case of rotation, with the angle being 180?
2). Are Tom and Wrede actually defining two different types of vectors, or defining the same thing in two different ways?