IF vector a ,vector b ,vector c and vector d are unit vectors such that (vector a cross vector b) dot (vector c cross vector d )=1 and vector a dot vector c =1/2 then

Answers (1)

Solution:   Let   	heta _1, be the angle between  veca and vecb,

                  	heta_2   be the angle between  vecc and vecd

              and  phi be the angle between  veca	imes vecb and vecc	imes vecd

          Then ,

          

    Rightarrow      (veca	imes vecb)cdot (vecc	imes vecd)=1  Possible only when   

              left | veca	imesvecb 
ight |=left | vecc	imesvecd 
ight |=1    and   (veca	imesvecb)parallel (vecc	imesvecd)

 Since    vecacdot vecc=frac12    and    vecbparallel vecd,  then  left | vecc	imes vecd 
ight |
eq 1. 

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