Let `vec a,vec b,vec c` be three vectors such that `|vec a|=sqrt(31),4,|vec b|=|vec c|=2` and `2(vec a times vec b)=3(vec c times vec a)`.If the angle between `vec b` and `vec c` is `(2 pi)/(3)`,then `((vec a times vec c)/(vec a.vec b))` is equal to

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

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 avec b=vec adot c then show that vec a=0 or ,vec b=c or vec a perp(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

Let veca,vecb and vecc be three vectors such that |veca |=sqrt(3),|vec b|=5 , vec b .vec c = 10 and the angle between vec b and vec c is pi/3, if vec a is perpendicular to the vector vec b xx vec c, then | veca xx (vecbxxvecc)| is equal to __________.

If vec a,vec b,vec c are vectors such that [vec a,vec b,vec c]=4 then [a xx b,b xx c,c xx a]=

Let vec a,vec b and vec c be there unit vectors such that vec a xx(vec b xxvec c)=(sqrt(3))/(2)(vec b+vec c)* If vec b is not parallel to vec e, then the angle between vec a o*vec b is:

If vec a,vec b,vec c are three unit vectors such that vec a xx(vec b xxvec c)=(1)/(2)(vec b+vec c). If the vectors vec b and vec c are non-parallel,then the angle between vec a and vec b is

Let vec a and vec b be two unit vectors such that |vec a+vec b|=sqrt(3) if vec c=vec a+2vec b+3(vec aXvec b) then 2|vec c| is equal to

Let vec a,vec b,vec c are the three vectors such that |vec a|=|vec b|=|vec c|=2 and angle between vec a and vec b is (pi)/(3),vec b and vec c and (pi)/(3) and vec a and vec c(pi)/(3). If vec a,vec b and vec c are sides of parallelogram