Show that: `vec a*(vec b+vec c)=vec a*vec b+vec a*vec c`

If vectors vec a , vec b ,a n d vec c are coplanar, show that | vec a vec b vec c vec adot vec a vec adot vec b vec adot vec c vec bdot vec a vec bdot vec b vec bdot vec c|=odot

If vec a,vec b and vec c be any three vectors then show that vec a+(vec b+vec c)=(vec a+vec b)+vec c

For any three vectors a b,c,show that vec a xx(vec b+vec c)+vec b xx(vec c+vec a)+vec c xx(vec a+vec b)=0

For any three vectors vec a,vec b,vec c show that vec a xx(vec b+vec c)+vec b xx(vec c+vec a)+vec c xx(vec a+vec b)=vec 0

If for three non zero vectors vec a,vec b and vec cvec a*vec b=vec a.vec c and vec a xxvec b=vec a xxvec c, the show that vec b=vec c .

Given that vec a*vec b=vec a*vec c,vec a xxvec b=vec a xxvec c and vec a is not a zero vector.Show that vec b=vec c .

If vec a,vec b, and vec c are three vectors such that vec a xxvec b=vec c,vec b xxvec c=vec a,vec c xxvec a=vec b then prove that |vec a|=|vec b|=|vec c|

Given four vectors vec a, vec b, vec c, vec d such that vec a + vec b + vec c = alphavec d, vec b + vec c + vec d = betavec a and that vec a, vec a, vec b, vec c are non-coplanar, then the sum vec a + vec b + vec c + vec d is

Let vec a, vec b, vec b, vec b are three vectors such that vec a * vec a = vec b * vec b = vec c * vec c = 3 and | vec a-vec b | ^ (2) + | vec b-vec c | ^ (2) + | vec c-vec a | ^ (2) = 27 then

If vec a,vec b,vec c are the position vectors of points A,B,C and D respectively such that (vec a-vec d)*(vec b-vec c)=(vec b-vec d)*(vec c-vec a)=0 then D is the