Question

resultant of two vectors at an angle 150 degree is 10 minutes and its perpendicular to one hectare the magnitude of smaller vector is

Answer 1

If we make graph ans see on it then we can tell that the other vector b at 150 degrees clockwise from vector an(i.e 60 degrees from +X axis)
N X direction,b.cos60° =10
since cos60°=1/2
b=10/1/2=20
in the Y direction:
a=b.sin60°
since sin 60°=√ 3/2
a=20 √ 3/2
=10√3
Since 10√3 is smaller than 20. hence answer is 10√3