Yes. Just arrange them so that there is 120 degrees
between the directions of each pair.
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Two - if you add two vectors of equal magnitude but in opposite directions, the resultant vector is zero.
Yes. Vectors contain both magnitude and direction. Graphically three vectors of equal magnitude added together with a zero sum would be an equilateral triangle.
When they are equal in magnitude but opposite in direction.
Only if one of them has a magnitude of zero, so, effectively, no.
No two vectors of unequal magnitude cannot give the sum 0 because for 0 sum the 2 vectors must be equal and in opposite direction