Re: Adding Vectors -- Newbie help please

*To*: mathgroup at smc.vnet.net*Subject*: [mg52023] Re: Adding Vectors -- Newbie help please*From*: motz art <music at heart.com>*Date*: Sun, 7 Nov 2004 01:04:10 -0500 (EST)*References*: <cmfc9b$7k3$1@smc.vnet.net> <cmhut5$ppb$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

Ok; but I was hoping that there is a simpler way than the following method to add two ac voltage vectors (for example): (220V, 225 degrees) (100V, 16 degrees) Clear[r, x, y, Theta, rect, polar] rect[r_,Theta_] := { r Cos[Theta Pi/180] , r Sin[Theta Pi/180]} polar[x_, y_] := {Sqrt[x^2 + y^2], ArcTan[x, y]180/Pi} (* Input vectors here *) v1 := {220, 225}; v2 := {100, 16}; r1:= rect[v1[[1]], v1[[2]] ] // N; r2:= rect[v2[[1]], v2[[2]] ] // N; rt := p1 + p2 polar[rt[[1]], rt[[2]]] // N This just seems so cumbersome, especially when compared to a scientific calculator. On Sat, 6 Nov 2004 07:36:05 +0000 (UTC), David Bailey <dave at Remove_Thisdbailey.co.uk> wrote: >motz art wrote: >> 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. >> >> >> >> >> >You can easily write a function to convert from polar to coordinate form: > >FromPolar[r_, theta_] := {r Cos[theta], r Sin[theta]} > >Note that this assumes your angles are measured in radians. Once all >your vectors are in coordinate form you can add/subtract then directly: > >{1,2}+(3,4} > >produces > >{4,6} > >Regards, > >David Bailey

**Follow-Ups**:**Re: Re: Adding Vectors -- Newbie help please***From:*yehuda ben-shimol <yehuda@cse.bgu.ac.il>