Let us resolve the vectors along x and y-axes first.

Magnitude of

x-component = OA. cos 30° =2 × √3/2 =√3 m

y-component = OA. sin 30° =2× 1/2 =1 m

Magnitude of

x-component = BC. cos 120° =1.5 × (-1/2) =-0.75 m

y-component = BC. sin 120° =1.5 × (√3/2) =0.75√3

Magnitude of

x-component= DE. cos 270° =0 m

y-component = DE. sin 270° =-1 m

(angles of cosine are taken from the positive direction of x-axis)

(b)Now

x-component of the resultant = Sum of x-components of the vectors

y-component of the resultant = Sum of y-components of the vectors

(a) Magnitude of resultant

(c) angle with X-axis of resultant is given by tanθ =Magnitude of y-comp/Magnitude of x-comp