Physics - Vectors Question with Solution | TestHub

Let $A$ and $B$ be the two forces. As per question

$\sqrt{A^2+B^2}=5$

or $A^2+B^2=25$ ----------------------(i)

and $A^2+B^2+2AB\mathrm{c}\mathrm{o}\mathrm{s}120°=13$

or $AB=25-13=12$

or 2$AB=24$ ----------------------(ii)

Solving (i) and (ii), we get

$A=3\text{ N}$

and $B=4\text{ N}$