Yes, a vector which has zero magnitude is also a vector in case of two vectors travelling in opposite directions with equal magnitudes. At this case, the resultant vector has zero magnitude but it is still a vector. We call it a null vector.
1. sol:
P | q | ~p | ~p ^ q |
| T T F F | T F T F | F F T T | F F T F |
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If vectors are arranged as trigonal planar and have equal magnitude, it is an ideal case of zero resultant.
This picture develops a clear understanding.
