Computes the cross product of \(n-1\) vectors of length \(n\).
cross(...)
x %cross% y
\(n-1\) vectors of length \(n\).
numeric
or character
vector of length 3.
numeric
or character
vector of length 3.
\(n\)-dimensional vector orthogonal to the \(n-1\) vectors.
%cross%
: binary operator for 3-dimensional cross products.
Guidotti, E. (2020). "calculus: High dimensional numerical and symbolic calculus in R". https://arxiv.org/abs/2101.00086
### canonical basis 4-d
cross(c(1,0,0,0), c(0,1,0,0), c(0,0,0,1))
#> [1] 0 0 1 0
### canonical basis 3-d
cross(c(1,0,0), c(0,1,0))
#> [1] 0 0 1
### symbolic cross product 3-d
c(1,0,0) %cross% c(0,1,0)
#> [1] 0 0 1
### symbolic cross product 3-d
c("a","b","c") %cross% c(0,0,1)
#> [1] "((b)*((1))) * 1" "((a)*((1))) * -1" "0"