the resultant of 2 vectors u and v is perpendicular to u and its magnitude is equal to half of - Physics - Motion In A Straight Line

Question

the resultant of 2 vectors u and v is perpendicular to u and its
magnitude is equal to half of v find the angle between u and v?

Jyoti Pant · Accepted Answer

Solution:

Here,resultant of u and v is R Resolving v into two rectangular components,we have vcos $θ$ and vsin $θ$ As per question, R=vcos $θ$ and R=v/2 So v/2=v cos $θ$ cos $θ$ =1/2=> $θ$ = $60^{0}$ Hence angle between u and v= $90^{0} + 60^{0} = 150^{0}$

the resultant of 2 vectors u and v is perpendicular to u and its magnitude is equal to half of v find the angle between u and v?