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Adding Vectors -- Newbie help please


Mathematica v5: How can I input vectors in polar form and
rectangular form?  

Example:

a:= (r1, theta1) + (r2, theta2)  Polar form.

b:= (re1 , j* im1) + (re2, j*im2) Rectangular form

I know this should be pretty basic, but I haven't  found examples
of this kind of input.

I would guess it would be something like: 

          Polar[magnitude, phase]
          Rectangular[Real, Imaginary]

but, apparently not.  (This is for  electronics engineering.)

Thanks for any help.






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