Action:

Gets the cross product of two gvectors.


Filename:

kern/kern_scm/gvec_scm.cxx


Syntax:

(gvector:cross gvector1 gvector2)


Arg Types:

gvector1

gvector


gvector2

gvector


Returns:

gvector


Description:

If the
i, j, k components of vector
a are <a1,
a2,
a3>, and the
i, j, k components of vector
b are <b1,
b2,
b3>, the cross product
a x
b is:




a2 a3




a1 a3




a1 a2




a x b =




i






j

+




k




b2 b3




b1 b3




b1 b2





a x b =


[(a2)(b3)(b2)(a3)]i





 [(a1)(b3)(b1)(a3)]j





+ [(a1)(b2)(b1)(a2)]k



The resulting cross product vector is perpendicular to both input vectors. The cross product
a x b is not the same as the cross product
b x a; they point in opposite directions (180 degrees from one another).



gvector1 specifies the first vector.



gvector2 specifies the second vector.


Example:

; gvector:cross


; Compute the cross product of two gvectors.


(gvector:cross (gvector 2 2 2) (gvector 5 3 8))


;; #[gvector 10 6 4]


(gvector:cross (gvector 5 3 8) (gvector 2 2 2))


;; #[gvector 10 6 4]
