Do four dimensional vectors have a cross product property?
42883
Cross product in $\mathbb R^n$
19499
Why is cross product only defined in 3 and 7 dimensions?
43282
Why do $n$ linearly independent vectors span $\mathbb{R}^{n}$?
140711
Linear independence of images by $A$ of vectors whose span trivially intersects $\ker(A)$
6398
Can the product of an $4\times 3$ matrix and a $3\times 4$ matrix be invertible?
142028
If $\vec{a},\vec{b},\vec{c},\vec{d}$are unit vectors, $(\vec{a}\times\vec{b}).(\vec{c}\times\vec{d})=1$ and $\vec{a}.\vec{c}=\frac{1}{2}$,then
59644
Proof of Cartesian product intersection
102418
Rotations preserve cross products?
121701
Meaning of the direction of the cross product
19964
What does the dot product of two vectors represent?
50277
Relationship between cosines of angles in 4 dimensions
117350
How to determine whether the direction of rotating a 2D vector to another one is counter-clockwise or clockwise using the cross product?
22182
why don't we define vector multiplication component-wise?
44685
Inner product on $C(\mathbb R)$
155092
What is the logic/rationale behind the vector cross product?
19027
Why does cross product give a vector which is perpendicular to a plane
86362
Cyclic vectors in a real vector space