If `vec a, vec b and vec c` are three non-coplanar unit vectors each inclined with other at an angle of `30^@,` then the volume of tetrahedron whose edges are `vec a,vec b, vec c` is (in cubic units)

If vec a,vec b and vec c are three units vectors equally inclined to each other at an angle alpha. Then the angle between vec a and plane of vec b and vec c is

If vec a, vec b and vec c are non coplanar unit vectors such that vec a xx (vec b xx vec c) = (vec b + vec c)/sqrt2 , then

If vec a , vec b , vec c are three non-coplanar vectors and vec d* vec a = vec d* vec b= vec d* vec c= 0 then show that vec d is zero vector.

If vec a,vec b,vec c, and vec d are four non-coplanar unit vector such that vec d make equal angles with all the three vectors vec a,vec b and angles prove that [vec dvec avec b]=[vec dvec cvec b]=[vec dvec cvec a]

If vec a, vec b, vec c are three non-coplanar unit vectors, the angle between them pair wise are (pi)/(6),(pi)/(4)and(pi)/(3) then the [vec(a) vec(b) vec(c)] is

If vec a , vec b , vec c are three non coplanar vectors such that vec adot vec a= vec d vec b= vec ddot vec c=0 , then show that vec d is the null vector.

If vec a,vec b,vec c are three non coplanar vectors such that vec a.vec a*vec a=vec dvec b=vec d*vec c=0 then show that vec d is the null vector.

If vec a , vec b , vec c are three non coplanar vectors such that vec ddot vec a= vec ddot vec b= vec ddot vec c=0, then show that d is the null vector.

If vec a,b,vec c are three non-coplanar unit vectors , the angle between them pair wise are (pi)/(6),(pi)/(4)" and "(pi)/(3) then the |[vec a vec b vec c]| is