Answer :
Okay, here we have this:
Considering the provided information, we are going to express the vector in terms of i and j, so we obtain the following:
So, let's use the formulas: x=||v||cosθ and y=||v||sinθ, then we have:
x=||36|| cos(60°)
x=36 cos(60°)
x=36 (1/2)
x=18
y=||36|| sin(60°)
y=36 sin(60°)
y=36 (√3/2)
y=18√3
magnitude=√(18^2 + (18√3)^2)
magnitude=√(324 + 324*3)
magnitude=√(324 + 972)
magnitude=√1296=36
Unit vector=(18/36, 18√3/36)
Unit vector=<0.50, 0.87>
Then, finally we obtain the following vector <18, 18√3> and as an unit vector <0.50, 0.87>, V=0.50i+0.87j.