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,vec c be three vectors such that |vec a+vec b+vec c|=1,vec c=lambda(vec a xxvec b) and |vec a|=(1)/(sqrt(2)),|vec b|=(1)/(sqrt(3)),|vec c|=(1)/(sqrt(6)), then the angle between vec a and vec b is

If vec a,vec b, and vec c are such that [vec avec bvec c]=1,vec c=lambdavec a xxvec b, angle, between vec a and vec b is (2 pi)/(3),|vec a|=sqrt(2),|vec b|=sqrt(3) and |vec c|=(1)/(sqrt(3)) then the angel between vec a and vec b is (pi)/(6) b.(pi)/(4) c.(pi)/(3) d.(pi)/(2)

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 unit vectors such that vec a+vec b+vec c=vec 0 find the value of vec a+vec b+vec bdot c+vec *vec a

If vec a,vec b, and vec c are three vectors such that vec a xxvec b=vec c,vec b xxvec c=vec a,vec c xxvec a=vec b then prove that |vec a|=|vec b|=|vec c|

If vec a, vec b, vec c are three mutually perpendicular vectors such that | vec a | = | vec b | = | vec c | then (vec a + vec b + vec c) * vec a =

If vec a,vec b and vec c are three non-zero vectors,prove that [vec a+vec b,vec b+vec c,vec c+vec a]=2[vec a,vec b,vec c]

vec a,vec b,vec c are three vectors, such that vec a+vec b+vec c=0 , |vec a|=1,|vec b|=2,|vec c|=3 , |vec a.vec b+vec b.vec c+vec c.vec a| is equal to

If vec a, vec b, vec c are three vectors such that | vec b | = | vec c | then {(vec a + vec b) xx (vec a + vec c)} xx {(vec b xxvec c)} * (vec b + vec c) =

vec a,vec b,vec c are three vectors,such that vec a+vec b+vec c=0 , |vec a|=1, |vec b|=2, |vec c|= 3 , vec a*vec b+vec b*vec c+vec c*vec a is equal to