Vector Cross Product

Vector or cross product

Cross(x, y)

Arguments

x

numeric vector or matrix

y

numeric vector or matrix

Details

Computes the cross (or: vector) product of vectors in 3 dimensions. In case of matrices it takes the first dimension of length 3 and computes the cross product between corresponding columns or rows.

The more general cross product of n-1 vectors in n-dimensional space is realized as CrossN.

Value

3-dim. vector if x and < are vectors, a matrix of 3-dim. vectors if x and y are matrices themselves.

Author

Hans W. Borchers <hwborchers@googlemail.com>

See also

Dot, CrossN

Examples

Cross(c(1, 2, 3), c(4, 5, 6))  # -3  6 -3
#> [1] -3  6 -3

# Triple product can be calculated as:
va <- c(1, 2, 3)
vb <- c(4, 3, 0)
vc <- c(5, 1, 1)

Dot(va, Cross(vb, vc))
#> [1] -38