The vector `vec(a) ` lies in the plane of vectors `vec(b) and vec(c)`. Which one of the following is correct ?

If the vector vec(a) lies in the planar of vectors vec(b) and vec(c ) , then which one of the following is correct?

If a vector vec(alpha) lies in the plane of vec(beta)andvec(gamma), then

If vec a in the plane of vectors vec b\ a n d\ vec c then which of the following is correct? [ vec a\ vec b\ vec c]=0 b. "\" [ vec a\ vec b\ vec c]=1' c. "[ vec a\ vec b\ vec c]=3" d. "[ vec b\ vec c\ vec a]=1"

Let vec(a).vec(b) and vec(c ) be three mutually perpendicular vectors each of unit magnitude. If vec(A) = vec(a) + vec(b) + vec(c ),  vec(B) = vec(a)- vec(b) + vec(c ) and vec(C ) = vec(a) - vec(b) - vec(c ) , then which one of the following is correct?

If vec(A) and vec(B) are two vectors, which of the following is not correct?

Let vec a, vec b, vec c be unit vectors such that vec a + vec b + vec c = vec 0 . Which one of the following is correct?

If vec(a) and vec(b) are two vectors such that vec(a).vec(b) = 0 and vec(a) xx vec(b) = 0 , then which one of the following is correct?

Let vec a,vec b,vec c be unit vectors such that vec a+vec b+vec c=vec 0 .Which of the following is correct?

The vectors vec a = alpha i +2j+betak lies in the plane of the vectors vec b = i+j and vec c = j+k and vec a bisects the angle between vec b and vec c . Then, which one of the following gives the possible values of alpha and beta ?