cross {calculus}

Numerical and Symbolic Cross Product

Description

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

Usage

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.

Value

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

Functions

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

References

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

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)