For questions on cross products.
2
votes
3answers
33 views
Cross product- square
I recently saw the following expression somewhere-
$$\frac{1}{2} \left\| \frac{\vec{u}}{9} \times \frac{\vec{u} + \vec{v}}{9} \right\| + \frac{1}{2} \left\| \frac{\vec{u} + \vec{v}}{9}\times ...
-1
votes
2answers
83 views
Find the sine sign given a pair of 3D vectors
I want to find the exact sine between two vectors in 3-dimensional space.
Data:
$x$: vector
$y$: vector
$z = \Vert x \times y \Vert$
I have tried this:
$$\sin \alpha = \frac{\Vert z\Vert}{( ...
4
votes
1answer
41 views
How to solve cross-products including matrices?
I'm a programmer and I'm doing a whitebalance-transformation in RGB colorspace. This should work with this transformation matrix that I've found in literature:
$$
\begin{pmatrix}
R \\
G \\
B
...
2
votes
0answers
112 views
Cross product in higher than 3 dimensions
As I understand it, to get an $n$-dimensional cross product, you need $n-1$ vectors of dimension $n$. However my lecture notes are quite miss leading in the fact that they suggest this isn't always ...
