Show that u × v is orthogonal to both u and v.
(u × v) · u =
(u × v) · v =
u X v=( 2,-5,-8)
u X v*u=
(2,-5,-8)*(4,0,1)=
8-8=0
=>(u X v)_|_ u
u X v*v=
(2,-5,-8)*(3,-2, 2)=
6+10-16=0
=>
(u X v)_|_v
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Answers & Comments
u X v=( 2,-5,-8)
u X v*u=
(2,-5,-8)*(4,0,1)=
8-8=0
=>(u X v)_|_ u
u X v*v=
(2,-5,-8)*(3,-2, 2)=
6+10-16=0
=>
(u X v)_|_v