" 15.If "vec A*vec B=vec A*vec C," is it correct to conclude that "vec B=vec C

If vec A xx vec B=vec A xx vec C , is it correct to conclude that vec B =vec C ?

If vec A, vec B and vec C are vectors such that |vec B|=|vec C| . Prove that [(vec A+ vec B)xx (vec A + vec C)]xx (vec B+vec C).(vec B+ vec C)=0

If vec A, vec B and vec C are vectors such that |vec B|=|vec C| . Prove that [(vec A+ vec B)xx (vec A + vec C)]xx (vec B+vec C).(vec B+ vec C)=0

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|

If vec A+vec B=vec C , then magnitude of vec B is vec C-vec A sqrt(vec C*vec A-vec B*vec A) sqrt(vec C*vec B-vec A*vec B) C-A

If vec A, vec B and vec C are vectors such that |vec B|-|vec C| . Prove that [(vec A+ vec B)xx (vec A + vec C)]xx (vec B+vec C).(vec B+ vec C)=0

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

If vec A, vec B and vec C are vectors such that | vec B | - | vec C | * Prove [(vec A + vec B) xx (vec A + vec C)] xx (vec B + vec C) * (case B + case C) = 0

If vec a,vec b and vec c are three non-zero vectors,prove that [vec a+vec b,vec b+vec c,vec c+vec a]=2[vec a,vec b,vec c]

If vec (a ') = (vec b × vec c) / (vec * vec b × vec c), vec (b') = (vec c × vec a) / (vec a * vec b × vec c), vec (c ') = (vec a × vec b) / (vec a * vec b × vec c). Prove that vec (a) = (vec (b ') × vec (c')) / (vec (a ') * vec (b') × vec (c ')), vec (b) = (vec (c') × vec (a ')) / (vec (a') * vec (b ') × vec (c')), vec (c) = (vec (a ') × vec (b')) / (vec ( a ') * vec (b') × vec (c ')).