Let l(t)=p+vt where l,p,v are vectors. Say p=r_{0}=<1,1,1> and v=<1,2,3> and the helix has radius 2.

So I have l(t)=<1+t,1+2t,1+3t> and that the equation of a helix would be <2cost,2sint,t>

How do I find the x(t),y(t), and z(t)?

I also found that sin(theta)=2/r(t), but I know that theta will get smaller as t goes on.

I'm studying for my multivariable calc final and this one is just stumping me! It feels like I should know the answer to this.

Thank you!