Question

Two equal vectors $V$ and $V^{\prime }$ are added together. Identify which of the following is not possible value for the magnitude of the resultant vector?

• A. $0$
• B. $1/4V$
• C. $1/2V$
• D. $2V$
• E. $4V$

Answer 1

The correct option is E $4V$

Given : $|V^{\prime }|=|V|=V$

Maximum magnitude of the resultant vector, $V_{max}=|V^{\prime }|+|V|=V+V=2V$

Minimum magnitude of the resultant vector, $V_{min}=|V^{\prime }|-|V|=V-V=0$

$\therefore$ Range of resultant vector, $0\le V_R\le 2V$

Thus, $4V$ is not possible.