Converting Radians to Vector Notation for Simplifying Expressions

[orthovector]

The arc length of a circle is radius times the angle between the two radius legs that connect the arc. Thus
dL = R d@

and dF = I dL x B where B and dL and dF are vectors.

how can I convert dL = R d@ into vector notation so that I can simplify these two expressions??

 

[priscared]

seems an odd question, and further ellaboration is needed.

By the sounds of it, maybe you should just use cylindrical r or spherical co-ordinates.

You should google cylindrical co-odinates. There are standard formulas and fudge factors involved, that will get you to your "vector" co-ordinates.

When you say "Vector" do you mean Cartesian co-ordinates?

If this is in relation to a homework problem, please post the whole question

 

[viola.geek]

(Don't know if you've gotten it since, but...) As far as I'm aware, s = \thetaR, where s is the arc length, \theta is the angle, and R is the radius, is entirely scalar. I can only see it "becoming a vector," if that makes sense, if you break literally everything up into components.

Could you please post the whole question?