Question

If two vectors have magnitudes of $4.0m$ and $7.0m$, which of the following is NOT a possible magnitude for the resultant for the sum of the vectors?

• A. $3.0m$
• B. $4.0m$
• C. $5.0m$
• D. $11.0m$
• E. $12.0m$

Answer 1

The correct option is E $12.0m$

Maximum magnitude of the resultant vector, $R_{max}=4.0+7.0=11.0$ m

Minimum magnitude of the resultant vector, $R_{min}=|4.0-7.0|=3.0$ m

Thus range of magnitude of resultant vector, $3.0$ $m\le R\le 11.0$ $m$

Hence, the correct answer is option E.