is there anyone can help with vector please the question is write down a parameterization of the following curve a)the z-axis b)the unit circle in the yz-plane c)the intersection of the cylinder x^2+y^2=4 with the plane z=2

Hint for part (a); the others go on similar lines of thinking: What would the position \(\vec\gamma(t)=(x(t),y(t),z(t))\) of a particle going at a velocity of one unit per second (\(t\)=time) be for a particle moving along the \(z\)-axis, say, passing the origin at \(t=0\)?

thanks what about number c do u have any idea

Well, what is the shape of the path of the intersection of the cylinder and the plane?

there is no graph

You're given the equations though. Think about it...what shape do we get when we cut a hollow cylinder perpendicularly?

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