For three vectors to have a minimum resultant of $0\text{ N}$, they must be able to form a closed triangle, which requires the sum of the two smaller magnitudes to be greater than or equal to the third ($2 + 3 = 5 < 6$, which fails this triangle inequality). The maximum possible resultant is when all three act in the same direction: $2 + 3 + 6 = 11\text{ N}$ (making option 3 incorrect). The minimum resultant occurs when the two smaller forces act in the same direction, directly opposing the largest force, resulting in $6\text{ N} - (2\text{ N} + 3\text{ N}) = 1\text{ N}$. Thus, the minimum magnitude is $1\text{ N}$ (making option 1 correct, and options 2 and 4 incorrect).