Depends on if you're working on 2D vectors or 3D vectors. I'll assume the prior.
Rx = Magnitude * Cos Angle
Ry = Magnitude * Sin Angle
You can work out the Cos and Sin parts by drawing a triangle; in which Cos is Adj/Hyp and Sin is Opp/Hyp. By multiplying by the Hyp (the magnitude) you get the Adj and Opp respectively.
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General math is maths that includes; statistics, business maths, trigonometry, etc. General maths is the more applicable math in everyday life situations, as opposed to learning vectors or quartic graphs.
by doing math
Perpendicular means that the angle between the two vectors is 90 degrees - a right angle. If you have the vectors as components, just take the dot product - if the dot product is zero, that means either that the vectors are perpendicular, or that one of the vectors has a magnitude of zero.
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they are use in schools,banks most work places you will need it in life