If `vec a,vec b and vec c` are three unit vectors such that `vec a *vec b = vec a * vec c = 0` and 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) and vec (c ) are three unit vectors such that vec(a).vec(b) = vec(a).vec (c )=0 and angle between vec(b) and vec (c ) is pi/6 , prove that , vec (a) = pm 2 ( vec(b) xx vec(c ))

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 are three vectors such that vec a=vec b+vec c and the angle between vec b and vec c is (pi)/(2), then

If vec a,vec b,vec c are three vectors such that vec a=vec b+vec c and the angle between vec b and vec c is pi/2, then

If vec a,vec b,vec c are three vectors such that vec a=vec b+vec c and the angle between vec b and vec c is pi/2, then

Let vec a,vec b,vec c be three non-zero vectors such that vec c is a unit vector perpendicular to both vec a and vec b. If the between vec a and vec b is pi/6 prove that [vec avec bvec c]^(2)=(1)/(4)|vec a|^(2)|vec b|^(2)

If vec a ,\ vec b ,\ vec c are three vectors such that vec a. vec b= vec a.\ vec c and vec a\ xx\ vec b= vec a\ xx\ vec c ,\ vec a\ !=0 , then show that vec b= vec c .

Let vec a,vec b,vec c are the three vectors such that |vec a|=|vec b|=|vec c|=2 and angle between vec a and vec b is (pi)/(3),vec b and vec c and (pi)/(3) and vec a and vec c(pi)/(3). If vec a,vec b and vec c are sides of parallelogram