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1d
awarded  Yearling
1d
answered Derivation for the integrating term in line integrals and volume integrals in spherical coordinates
Oct
11
revised chain rule with laplacian question
changed bigtriangle to Delta, texified another function invocation
Oct
11
awarded  Cleanup
Oct
11
revised chain rule with laplacian question
rolled back to a previous revision
Oct
10
answered How do I find the normal equation for a plane in 4 dimensions
Oct
10
comment How to convert Cartesian Vector to a Cylindrical Vector
One notes that the result as given is not in terms of cylindrical basis vectors. That is a separate, additional computation (though it is quite common).
Oct
9
comment Gradient/Curl/Divergence of a Single Vector
I think you should address the part of the question that reads "if it's in rectangular, cylindrical, or spherical" as well.
Oct
8
answered What is the difference between abstract index notation and Ricci index notation?
Oct
7
revised Apostol vector calculus exercise
fixed another prime
Oct
7
revised Apostol vector calculus exercise
just use apostrophes for primes in math mode
Oct
6
answered Is there an efficient way to prove orthogonality of a coordinate system?
Oct
4
answered Norm on a Geometric Algebra
Oct
4
comment Question about cross product and tensor notation
Yeah, differential forms people use $\star$, and clifford algebra people just multiply by $\epsilon$ (or $-\epsilon$, depending on the particular case--the star is somewhat inconsistent in this respect). They're two different notations for the same thing, but the geometric interpretation is always that, if a $k$-vector corresponds to a subspace, then its dual (found by the star, or by multiplication with $\epsilon$) is that subspace's orthogonal complement--it's perpendicular to the original.
Oct
4
comment Question about cross product and tensor notation
I would recommend Alan Macdonald's two books on geometric algebra and calculus. They are designed for an undergraduate audience and try to highlight how to relate the material to traditional linear algebra (esp. with matrices) and to vector calculus as it is traditionally taught.
Oct
4
answered Question about cross product and tensor notation
Sep
30
awarded  Explainer
Sep
22
comment Multilinear Algebra, finding $z \wedge z.$
Those aren't differentials; they're just a different notation (and, quite common) notation for basis covectors.
Sep
18
comment Solving non-square linear systems with the exterior product and Cramer's rule
I see. Well, in that case, I would recommend Dorst, Fontijne, and Mann. They go into a lot of detail about homogenous coordinates using geometric algebra, and their chapter on computing intersections of subspaces is very detailed. I can't recommend an approach using cramer's rule; it's essentially an algorithm for doing matrix inversion, which GA offers better alternatives for, and I feel computing the meet of blades is more direct.
Sep
16
comment Solving non-square linear systems with the exterior product and Cramer's rule
What is the meaning of $p$ here? I can tell that $a, b, c$ are supposed to be normal vectors to the planes, but you state $p = (1,4,3)$ without explanation.