Final answer:
To draw 3 vectors originating at the origin and lying in the first quadrant of an x-y coordinate system, we can choose any three vectors with positive x and y components. The resultant of the vectors can be zero if the magnitudes of the vectors cancel each other out, but in general, the resultant will not be zero.
Step-by-step explanation:
To draw 3 vectors that originate at the origin and lie in the first quadrant of an x-y coordinate system, we can choose any three vectors whose components are all positive. For example, we can choose vectors A, B, and C, each with positive x and y components. The result of the vectors can be zero if the magnitudes of the vectors cancel each other out. This can happen if the vectors have equal magnitudes but opposite directions.
However, in general, the resultant of three vectors in the first quadrant will not be zero. This is because the vectors will have positive x and y components, and when added together, their magnitudes will add up. The resultant vector will have a non-zero magnitude and will point in a direction determined by the sum of the vectors.