Question

The vector sum of the forces of $10N$ and $6N$ can be

• A. $2N$
• B. $8N$
• C. $18N$
• D. $20N$

Answer 1

The correct option is B $8N$

Maximum magnitude of sum of vectors $\overrightarrow{a}+\overrightarrow{b}$ can be $|\overrightarrow{a}|+|\overrightarrow{b}|$ and minimum magnitude can be $|\overrightarrow{a}|-|\overrightarrow{b}|.$
Thus, the sum can lie between $4N$ and $16N$. The only option satisfying this is $8N$.