Orodruin's latest activity
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Orodruin replied to the thread Independent components of three indexed systems ##T_{ijk}##.There is no need to split into cases as you do. The third index is just an additional copy of the 2-index system for every possible... -
Orodruin replied to the thread Flux through a cylindrical surface enclosing part of a sphere.Hint: You don’t need to compute the flux integral. Edit: with the dimensions of A, the cylinder does not completely enclose the sphere...
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Orodruin replied to the thread Writing a vector parallel and normal to a unit vector ##\hat n##.There is actually a generalization of the cross product to arbitrary dimensions that will do the same trick asthe cross product...
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I don't think saying they are all invariant objects removes the distinction between them. A vector has a magnitude and direction whether...
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Orodruin replied to the thread I Invariance of 4-velocity.A scalar is a function on the base manifold. A vector is a member of the tangent space of spacetime. A traceless symmetric tensor is a...
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Orodruin reacted to Steve4Physics's post in the thread Slight Confusion in Introductory Mechanics (Dynamics Problem) with
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@Lunar Manatee, note that the SI symbol for the second is 's' not 'sec', so 'm/sec' is incorrect. EDITed to remove surplus information. -
Orodruin replied to the thread Writing a vector parallel and normal to a unit vector ##\hat n##.On the contrary. It is very reassuring that the components of ##\vec A## add up to ##\vec A##. You should worry if they didn’t! The...
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Orodruin replied to the thread Writing a vector parallel and normal to a unit vector ##\hat n##.I actually think ##\vec A - (\vec A \cdot \hat n)\hat n## is nicer than the double cross product. It also generalises to any dimension.