Question

A particle has velocities 1m/s ,2m/s, 3√3m/s and 4m/s inclined at an angle of 0•, 60•,150• and 300• respectively to the x-axis find the resultant velocity in magnitude and direction

Answer 1

for each vector, split into components using
x = rcosθ
y = rsinθ
add up the x- and y-parts separately, and convert back to polar form. Most of the stuff cancels out.
I get 1 at 120°

Answer 2

Dgjb

Answer 3

Teach the physics