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equal and opposite
by method of finding resultant
Two - if you add two vectors of equal magnitude but in opposite directions, the resultant vector is zero.
The only way that two vectors add up to zero is if they have equal magnitude and opposite direction. If the magnitudes are not equal then no, they cannot give a zero resultant.
If they are parallel, you can add them algebraically to get a resultant vector. Then you can resolve the resultant vector to obtain the vector components.