# Cross Product

The cross product, $$\mathbf{u} \times \mathbf{v}$$, is defined as,

$\mathbf{u} \times \mathbf{v} = |\mathbf{u}||\mathbf{v}| \sin(\theta)$
function ×(u::Vector, v::Vector)
@assert length(u) == length(v) == 3
Vector{eltype(u)}([
u[2]*v[3]-u[3]*v[2],
u[3]*v[1]-u[1]*v[3],
u[1]*v[2]-u[2]*v[1]
])
end

@show [1;0;0] × [0;1;0]
> [1; 0; 0] × [0; 1; 0] = [0, 0, 1]