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(D) The resultant $R$ of two vectors $A$ and $B$ lies in the range $|A-B| \leq R \leq |A+B|$.For option $A$: $|1-2| \leq R \leq |1+2| \implies 1 \leq

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$4$ units and $8$ units

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(D) The resultant $R$ of two vectors $A$ and $B$ lies in the range $|A-B| \leq R \leq |A+B|$.For option $A$: $|1-2| \leq R \leq |1+2| \implies 1 \leq R \leq 3$. Since $3$ is in the range,the resultant can be $3$.For option $B$: $|2-5| \leq R \leq |2+5| \implies 3 \leq R \leq 7$. Since $3$ is in the range,the resultant can be $3$.For option $C$: $|3-6| \leq R \leq |3+6| \implies 3 \leq R \leq 9$. Since $3$ is in the range,the resultant can be $3$.For option $D$: $|4-8| \leq R \leq |4+8| \implies 4 \leq R \leq 12$. The range is $[4, 12]$. Since $3$ is not in this range,the resultant can never be $3$ units.

Among the given pairs of vectors,the resultant of two vectors can never be $3$ units. The vectors are

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