the answer:
first of all, we should know that the expression of a vector V (a, b) can be written as follow:
V = r (Vx i + Vyj), where r is the length of the vector, it is r = sqrt(V²x + V²y)
Vx is the component lying on the x-axis and Vy on the y-axis
v ⃗ lies in Quadrant II, means Vx is less than 0 (negative)
so Vx= -r sin30° and Vy= rcos30°
r= ‖v ⃗ ‖=4√3
so we have v = - 4√3sin30° i + 4√3 cos30° j
the components are
v(- 4√3sin30°, 4√3 cos30°) = (-2√3, 4√3 cos30°)
