let u have two vectors A and B
the minimum of these two vectors is A-B and maximum is A+B.
let you have two unequal vectors you get their component in X and Y direction and Now you can have Zero in particular one direction not at both..
OR
let U have two vectors A and B
resultant magnititude`s square will be
A2+B2-2AB Cos(@),where @ is angle between them.
to have 0 resultant, this must be zero
A2+B2=2AB cos (@)
subtracting 2AB both side
(A-B)2=2AB(Cos(@)-1)
to have zero resultant you have have both same but Cos@-1 is always negative except 0 at zero and 180.
so you have to have 0 resultant...it will have only when A=B in LHS
hence, two vectors can not be zero if they are unequal.
2)
If two vectors have any resultant then third one will neutrilise it when they will be coplanar.
