For any three vectors ` vec a ,\ vec b ,\ vec c` show that ` vec a- vec b ,\ vec b- vec c ,\ vec c- vec a` are coplanar.

For any three vectors vec a,vec b and vec c , show that vec a- vec b,vec b- vec c and vec c- vec a are coplanar.

Show that vectors vec a ,\ vec b ,\ vec c are coplanar if vec a+ vec b ,\ vec b+ vec c ,\ vec c+ vec a are coplanar.

Show that vectors vec a ,\ vec b ,\ vec c are coplanar if vec a+ vec b ,\ vec b+ vec c ,\ vec c+ vec a are coplanar.

For any three vectors vec a, vec b, vec c the expression (vec a - vec b) . [(vec b - vec c ) xx (vec c - vec a)] =

For any three vectors vec(a), vec(b) and vec(c) , show that vec(a) - vec(b), vec(b) - vec(c) , vec(c) - vec(a) are coplanar.

For any three coplanar vectors vec(a), vec(b), vec(c ) , show that vec(a)-vec(b), vec(b)-vec(c ), vec(c )-vec(a) are coplanar.

Show that the vectors vec a , vec b and vec c are coplanar if vec a+ vec b , vec b+ vec c and vec c+ vec a are coplanar.

For any three vectors veca , vec b , vec c show that vecaxx( vec b+ vec c)+ vec bxx( vec c+ vec a)+ vec cxx( vec a+ vec b)= vec0

For any three vectors veca, vec b, vec c prove that (vec a + vec b)+ vec c = vec a + (vec b + vec c)

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) = 0