Question

Vector sum of two forces of 10N and 6N cannot be :-

• A. 4N
• B. 8N
• C. 12N
• D. 2N

Answer 1

The correct option is D 2N

Magnitude of $\overrightarrow{A}+\overrightarrow{B}$ has to lie between $A-B$ and $A+B$, i.e $10-6$ and $10+6$, or $4$ and $16$.
$2$ is out of this range, hence it's the correct answer.