`vecA,vecB` and `vecC` are three non-collinear,non co-planar vectors. What can you say about direction of `vecA xx (vecBxxvecC)`?

If (veca xx vecb) =0 then what can we say about vectors ?

Let veca,vecb and vecc be three non-zero vectors such that no two of them are collinear and (vecaxxvecb)xxvecc=1/3|vecb||vecc|veca . If 'theta' is the angle between the vectors vecb and vecc , then a value of sin theta is :

If non-zero vectors veca and vecb are equally inclined to coplanar vector vecc , then vecc can be

If veca, vecb and vecc are non-coplanar vectors and lamda is a real number, then the vectors veca + 2vecb + 3vecc, lamda vecb + mu vecc and (2lamda -1)vecc are coplanar when

Let veca and vecb be two non-collinear unit vectors. If vecu=veca-(veca.vecb)vecb and vecv=vecaxxvecb , then |vecv| is

If veca, vecb and vecc are any three non-zero vectors, then the component of vecatimes(vecbtimesvecc) perpendicular to vecb is

If veca,vecb,vecc are three non-coplanar vectors and vecd*veca=vecd*vecb=vecd*vecc=0 , then show that vecd is a zero vector.

Given three vectors veca, vecb and vecc are non-zero and non-coplanar vectors. Then which of the following are coplanar.

If veca, vecb and vecc are non-coplanar vectors, prove that the four points 2veca+3vecb-vecc, veca-2vecb+3vecc, 3veca+4vecb-2vecc and veca-6vecb+ 6 vecc are coplanar.

If vecb and vecc are two non-collinear such that veca ||(vecbxxvecc) . Then prove that (vecaxxvecb).(vecaxxvecc) is equal to |veca|^(2)(vecb.vecc)