Question

the resultant of two forces(a bar + b bar) and (a bar- b bar) is a force √3a^2+b^2 the angle between a bar+ b bar and a bar - b bar​

Answer 1

$\huge\red{❥︎}\mathfrak\red{ANSWER}$

C = A + B

D = A - B

$\sqrt{CD} = Φ$

$\sqrt{AB} = φ$

$R = \sqrt{ {C}^{2} + {D}^{2} + 2CD} \: cosΦ$

$= \sqrt{ {A}^{2} + {B}^{2} + 2AB \: \cosΦ + {A}^{2} + {B}^{2} + 2AB}$

$= \sqrt{ 2{A}^{2} + 2 {B}^{2} + 2({A}^{2} - {B}^{2})cosΦ}$

$R = \sqrt{3 {A}^{2} + {B}^{2} }$

$➠ \: cosΦ = \frac{1}{2}$

$➠Φ = \frac{\pi}{3}$

$\huge\fbox\pink{Hope its help you♡︎}$

$\huge\green{☠︎︎}\red{Mafia \: Girl}\green{☠︎︎}$