cross function

Numerical and Symbolic Cross Product

Computes the cross product of $n-1$ vectors of length $n$.

cross(...)

x %cross% y

Arguments

• ...: $n-1$ vectors of length $n$.
• x: numeric or character vector of length 3.
• y: numeric or character vector of length 3.

Returns

$n$-dimensional vector orthogonal to the $n-1$ vectors.

Functions

• x %cross% y: binary operator for 3-dimensional cross products.

Examples

### canonical basis 4-d
cross(c(1,0,0,0), c(0,1,0,0), c(0,0,0,1))

### canonical basis 3-d
cross(c(1,0,0), c(0,1,0))

### symbolic cross product 3-d
c(1,0,0) %cross% c(0,1,0)

### symbolic cross product 3-d
c("a","b","c") %cross% c(0,0,1)

References

Guidotti E (2022). "calculus: High-Dimensional Numerical and Symbolic Calculus in R." Journal of Statistical Software, 104(5), 1-37. tools:::Rd_expr_doi("10.18637/jss.v104.i05")