Show by a numerical example and geometrically also that ` vec axx vec b= vec axx vec c` does not imply ` vec b= vec c`

Show by a numerical example and geometrically also that vec a xxvec b=vec a xxvec c does not imply vec b=vec c

Show by a numerical example that vec axx vec b= vec axx vec c does not imply vec b= vec c dot

Show that ( vec a- vec b)xx( vec a+ vec b)=2( vec axx vec b)dot

Show that ( vec a- vec b)xx( vec a+ vec b)=2( vec axx vec b)dot

Show that ( vec a- vec b)xx( vec a+ vec b)=2( vec axx vec b)dot

Show that ( vec a- vec b)xx( vec a+ vec b)=2( vec axx vec b)dot

Given that vec adot vec b= vec adot vec c , vec axx vec b= vec axx vec c and vec a is not a zero vector. Show that vec b= vec c dot

Given that vec adot vec b= vec adot vec c , vec axx vec b= vec axx vec c and vec a is not a zero vector. Show that vec b= vec c dot

If vec adot vec b= vec adot vec c\ a n d\ vec axx vec b= vec axx vec c ,\ vec a!=0, then

If vec a , vec b , vec ca n d vec d are distinct vectors such that vec axx vec c= vec bxx vec da n d vec axx vec b= vec cxx vec d , prove that ( vec a- vec d)dot (vec b- vec c)!=0,