If ` vec a , vec b , vec c` are three vectors such that `| vec a+ vec b+ vec c|=1, vec c=lambda( vec axx vec b)a n d| vec a|=1/(sqrt(2)),| vec b|=1/(sqrt(3)),| vec c|=1/(sqrt(6))` , find the angle between ` vec aa n d vec bdot`

If vec a , vec b ,a n d vec c are such that [ vec a vec b vec c]=1, vec c=lambda vec axx vec b , angle, between vec aa n d vec b is (2pi)/3,| vec a|=sqrt(2),| vec b|=sqrt(3)a n d| vec c|=1/(sqrt(3)) , then the angel between vec aa n d vec b is pi/6 b. pi/4 c. pi/3 d. pi/2

If veca , vec b , vec c are three vectors such that veca+ vec b+ vec c= vec0 , then prove that vec axx vec b= vec bxx vec c= vec cxx vec a

If vec a,vec b,vec c are three vectors such that vec a=vec b+vec c and the angle between vec b and vec c is pi/2, then

If vec a ,\ vec b ,\ vec c are three vectors such that vec a. vec b= vec a.\ vec c and vec a\ xx\ vec b= vec a\ xx\ vec c ,\ vec a\ !=0 , then show that vec b= vec c .

If vec a ,\ vec b ,\ vec c are unit vectors such that vec a+ vec b+ vec c= vec0 find the value of vec adot vec b+ vec bdot vec c+ vec cdot vec adot'

Let vec a , vec b ,and vec c be any three vectors, then prove that [ vec axx vec b vec bxx vec c vec cxx vec a ]= [vec a vec b vec c]^2

If vec aa n d vec b are two vectors such that | vec axx vec b|=2, then find the value of [ vec a vec b vec axx vec b]dot

If vec a , vec b , vec c are three non-coplanar vectors, prove that [ vec a+ vec b+ vec c vec a+ vec b vec a+ vec c]=-[ vec a vec b vec c]

If vec a\ a n d\ vec b are two vectors such that | vec a|=| vec axx vec b|, write the angle between vec a\ a n d\ vec bdot

If vec(a), vec(b) , vec(c ) are three vectors such that | vec(a) + vec(b) + vec( c )| = 1, vec( c)= lambda( vec( a) xx vec(b)), lambda is non-zero scalar and |vec(a)| = (1)/( sqrt( 6)), | vec(b) | = (1)/(sqrt(2)) , | vec(c )| = (1)/( sqrt(3)) , then the angle between vec (a) and vec(b) is