Finding Component Vectors Magnitudes
For a two dimensional vector you
need:
Its magnitude
= M
Its angle relative to the x axis = q
You are looking for:
X = magnitude of x axis component vector
Y = magnitude of y axis component vector
The results are:
X = M cos q
Y = M Sin q

Adding vectors
You first need to find the
component vectors of the vectors to be added.
M_{1} = {
X_{1}, Y_{1}} =>
X = X_{1} + X_{2}
M_{2} = { X_{2}, Y_{2}}
=> Y = Y_{1} + Y2
The angle of the new vector
q: q
= tan1(Y/X)
The magnitude of the new vector M:
