Do you think cosine effects this example:show the three vectors must lie in the same plane?

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* -->dot product

X -->cross product

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A*(BXC)=0

so we can change as..

|A||B||C|sin[tex]\alpha[/tex]cos[tex]\beta[/tex]=0

then... we can meet

sin[tex]\alpha[/tex]cos[tex]\beta[/tex]=0

so ....

Exactly sin can make vectors lie in same plane if sin=0 (because three of two vectors have same direction...)

but I'm not sure cos effects...?