0=v1+v2 means the magnitudes are zero or equal and opposite.
No, two vectors of unequal magnitude cannot have a sum of zero. The resultant of adding two vectors is determined both by their magnitudes and directions. If the vectors have unequal magnitudes, the resultant vector will have a magnitude that is at least as large as the larger of the two original vectors.
If their sum (resultant) is 0, then the magnitude of the resultant must be 0.
Yes. A vector has magnitude and direction. If the vectors have equal magnitude and directly opposite directions their sum will be zero.
Two - if you add two vectors of equal magnitude but in opposite directions, the resultant vector is zero.
The direction of the resultant vector with zero magnitude is indeterminate or undefined because the two equal and opposite vectors cancel each other out completely.
Two vectors: no. Three vectors: yes.
Two vectors, no; three vectors yes.
Yes.
Yes, two vectors of different magnitudes can be combined to give a zero resultant if they are equal in magnitude but opposite in direction. For three vectors to give a zero resultant, they must form a closed triangle or meet at a common point where the sum of the vectors equals zero.
The direction of the resultant vector with zero magnitude is arbitrary, since it indicates that the two equal and opposite vectors cancel each other out completely.
If the sum of their components in any two orthogonal directions is zero, the resultant is zero. Alternatively, show that the resultant of any two vectors has the same magnitude but opposite direction to the third.
Two vectors can be added to result in a zero resultant if they are equal in magnitude and opposite in direction.