Question

For the vectors $\overrightarrow{A}$ and $\overrightarrow{B}$ shown in figure, if A=15 N, B= 15 N, then $|\overrightarrow{A}-\overrightarrow{B}|=?$

• A. $15$ N
• B. $15\sqrt{3}$N
• C. $30$ N
• D. $\frac{15}{\sqrt{3}}$ N

Answer 1

The correct option is A $15$ N

We know,

When $|A|,|B|$ are equal, and $=|A|$

$|A+B|=2|A|\cos \frac{\theta }{2}$

$|A-B|=2|A|\sin \frac{\theta }{2}$

Here,

$|A-B|=2\times 15\times \sin \left({30}^0\right)$

$|A-B|=15$

Option $\text{A}$ is the correct answer