`|vec(a)|=3,|vec(b)=(sqrt(2))/(3)`. If `vec(a)xx vec(b)` is a unit vector then find the angle between `vec(a)` and `vec(b)`.

Let the vectors vec(a) and vec(b) be such that |vec(a)|=3 and |vec(b)|=(sqrt(2))/(3) , then vec(a)xx vec(b) is a unit vector, if the angle between vec(a) and vec(b) is…….

If |vec(a)xx vec(b)|=vec(a).vec(b) then find the angle between vec(a) and vec(b) .

If |vec(A)+vec(B)|=|vec(A)-vec(B)| , then find the angle between vec(A) and vec(B)

If vec(A)xxvec(B)=vec(B)xxvec(A) , then the angle between vec(A) and vec(B) is-

Let vec(a) and vec(b) be two unit vectors and theta is the angle between them. Then vec(a)+vec(b) is a unit vector if ……….

Let vec(a),vec(b) and vec( c ) are three unit vectors such that vec(a)xx(vec(b)xx vec( c ))=(sqrt(3))/(2)(vec(b)+vec( c )) . If the vectors vec(b) and vec( c ) are not parallel then the angle between vec(a) and vec(b) is ……….

The vector (vec(a)+3vec(b)) is perpendicular to (7 vec(a)-5vec(b)) and (vec(a)-4vec(b)) is perpendicular to (7vec(a)-2vec(b)) . The angle between vec(a) and vec(b) is :

Let vec(a),vec(b) and vec( c ) be unit vectors such that vec(a).vec(b)=vec(a).vec( c )=0 and the angle between vec(b) and vec( c ) is (pi)/(6) . Prove that vec(a)=+-2(vec(b)xx vec( c )) .

If vec(a)+vec(b)+vec( c )=0 and |vec(a)|=6,|vec(b)|=5,|vec( c )|=7 then find the angle between the vectors vec(b) and vec( c ) .

For two vectors vec(a) and vec(b),|vec(a)|=4,|vec(b)|=3 and vec(a).vec(b)=6 find the angle between vec(a) and vec(b) .