Question

let a and b be the two vector of magnitude 10unit each if they are inclined to the x-axis at angle 30 degree and 60 degree respectively find the resultant

Answer 1

According to the question the angle between the vectors is (60°-30°)=30°
if C is the resultant then,
$c = { ({a}^{2} + {b }^{2} + 2ab \cos\alpha ) }^{ \frac{1}{2} }$
where α=30°
|C|=(100+100+200×√3÷2)
=200(1+√3÷2)

if the angle make C vector with x axis is D° then,
tanD={b×sin60+a×sin30}÷{b×cos60+a×cos30}
so, D=45°