If `vec(a)andvec(b)" are parallel vectors, then "[vec(a)vec(b)vec(c)]" is equal to "`

If vec(a),vec(b),vec(c) are three unit vectors such that vec(a) is perpendicular to vec(b) , and is parallel to vec(c) then vec(a)xx(vec(b)xxvec(c)) is equal to

If vec(a) and vec(b) are unit vectors, then the vectors (vec(a) + vec(b)) xx (vec(a) xx (vec(b)) is parallel to the vector.

If vec(a)andvec(b) are unit vectors such that [vec(a),vec(b),vec(a)xxvec(b)]=(pi)/(4)," then the angle between "vec(a)andvec(b)" is "

If vec(a)andvec(b) are two unit vectors, then the vectors (vec(a)+vec(b))xx(vec(a)xxvec(b)) is parallel to the vector

If any two of three vectors vec(a), vec(b), vec(c ) are parallel, then [vec(a)vec(b)vec(c )]= __________.

If vec(a) and vec(b) are two unit vectors, then the vector (vec(a) + vec(b)) xx (vec(a) xx vec(b)) is parallel to

If [vec(a),vec(b),vec(c)] denotes the scalar triple product of the vectors vec(a),vec(b),vec(c) , then [vec(a)+vec(b),vec(b)+vec(c),vec(c)+vec(a)] is equal to

If vec(a),vec(b),vec(c ) are unit vectors such that vec(a)+vec(b)+vec(c )=0 , then the value of vec(a).vec(b)+vec(b).vec(c )+vec(c ).vec(a) is equal to