Morpho (version 1.0-1)

tanplan: calculate the orthogonal complement of a 3D-vector

Description

calculate the orthogonal complement of a 3D-vector or the 3D-crossproduct, finding an orthogonal vector to a plane in 3D.

Usage

tanplan(x)
crossp(x,y)

Arguments

x

vector of length 3.

y

vector of length 3.

Value

• tanplan:
• y
  vector orthogonal to x
• z
  vector orthogonal to x and y
• crossp: returns a vector of length 3.

Examples

require(rgl)

x <- c(1,0,0)
y <- c(0,1,0)

#example tanplan
z <- tanplan(x)
#visualize result
lines3d(rbind(0, x), col=2, lwd=2)
## show complement
lines3d(rbind(z$y, 0, z$z), col=3, lwd=2)

# example crossp
z <- crossp(x, y)
# show x and y
lines3d(rbind(x, 0, y), col=2, lwd=2)
# show z
lines3d(rbind(0, z), col=3, lwd=2)