```
A <- matrix(c(1,0,0, 0,1,0), nrow=2, ncol=3, byrow=TRUE)
crossn(A) #=> 0 0 1
x <- c(1.0, 0.0, 0.0)
y <- c(1.0, 0.5, 0.0)
z <- c(0.0, 0.0, 1.0)
identical(dot(x, crossn(rbind(y, z))), det(rbind(x, y, z)))
```

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