Why is cross product only defined in 3 and 7 dimensions?
6898
Is the vector cross product only defined for 3D?
153028
Showing that the product of vector magnitudes is larger than their dot product
126561
Proof of equivalence of algebraic and geometric dot product?
42493
Why is quaternion algebra 4d and not 3d?
129020
Problem with the Definition of Inner Product Space.
42883
Cross product in $\mathbb R^n$
155092
What is the logic/rationale behind the vector cross product?
84148
Why is $\mathbb{R}^2$ not a subspace of $\mathbb{R}^3$?
143923
Why can the cross product of two vectors be calculated as the determinant of a matrix?
85193
direct product commutes with tensor product?
8970
Proving the cross product matrix tranformation identity with an alternative solution
127915
What is the physical meaning of a dot product and a cross product of vectors?
40256
Why are these two descriptions of real n-dimensional projective space  the same?
53335
Why isn't $\mathbb{C}[x,y,z]/(xz-y)$ a flat $\mathbb{C}[x,y]$-module
56312
Why can this product of rectangular matrices not be the identity matrix?
89517
Do four dimensional vectors have a cross product property?
89038
Why does the magnitude of the cross-product of a and b give the area of a parallelogram spanned by a and b?