7-dimensional cross products

[Happypig375]

Right now, the cross function returns 0 for all non-three-dimensional vectors. The cross product is defined for 0-dimensional vectors (returns the zero vector), 1-dimensional vectors (returns the zero vector), 3-dimensional vectors (returns a 3-dimensional vector) and 7-dimensional vectors (returns a 7-dimensional vector). The 7-dimensional cross product is missing.

[jiggzson]

Any examples for this one?

[jiggzson]

@Happypig375 Suggestions? Examples? Anything?

[Happypig375]

Ref: https://en.wikipedia.org/wiki/Seven-dimensional_cross_product

1. Set an setting for the basis vector (product of [1, 0, 0, 0, 0, 0, 0] and [0, 1, 0, 0, 0, 0, 0, 0] Something like a setting called BASIS_VECTOR, like [0, 0, 1, 0, 0, 0, 0]
2. Generate multiplication table

Now if BASIS_VECTOR is [0, 0, 1, 0, 0, 0, 0], cross([0, 1, 0, 0, 0, 0, 0],[0, 0, 0, 0, 0, 0, 1]) => [0, 0, 0, 0, -1, 0, 0]