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My question is about vector addition in cylindrical coordinates:

Let A = 2x + y, B = x + 2y. In rectangular coordinates, AB = B-A = -x+y

In cylindrical coordinates, x=rcosθ + θsinθ, y=rsinθ + θcosθ

A =Axx + Ayy, B =Bxx + Byy

Ar = Ax(x.r) + Bx(y.r)=2.236, Aθ = 0. So A = 2.236r

Br = 2.236, Bθ = 0. So B = 2.236r

How do you do vector addition in cylindrical coordinates? A + B = 2.236r +2.236r !!!!!

Attached is the hand written file for clearer description.

I don't know how to add the two vectors totally in cylindrical coordinates because the angle information is not apparant. Please tell me what am I doing wrong.

Thanks

Let A = 2x + y, B = x + 2y. In rectangular coordinates, AB = B-A = -x+y

In cylindrical coordinates, x=rcosθ + θsinθ, y=rsinθ + θcosθ

A =Axx + Ayy, B =Bxx + Byy

Ar = Ax(x.r) + Bx(y.r)=2.236, Aθ = 0. So A = 2.236r

Br = 2.236, Bθ = 0. So B = 2.236r

How do you do vector addition in cylindrical coordinates? A + B = 2.236r +2.236r !!!!!

Attached is the hand written file for clearer description.

I don't know how to add the two vectors totally in cylindrical coordinates because the angle information is not apparant. Please tell me what am I doing wrong.

Thanks