Let G (x,y,z) = <-y,1-x,z> be a vector field in R3. Let C be a circular helix cu

Question

Let G(x,y,z) = <-y,1-x,z> be a vector field in R3. Let C be a circular helix curve parametrized by the equation r(t) = <cos(t), sin(t), t>, where t belongs to [0,2p]. Find G(r(t)) Please show me how you got your solution. Thank you very much! Let G(x,y,z) = <-y,1-x,z> be a vector field in R3. Let C be a circular helix curve parametrized by the equation r(t) = <cos(t), sin(t), t>, where t belongs to [0,2p]. Find G(r(t)) Please show me how you got your solution. Thank you very much!

Explanation / Answer

All you have to do is plug in the expressions for x(t), y(t) and z(t) that define the helix into the vector feild components of G. Thus, G(x,y,z) = G(x(t),y(t),z(t)) = .

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