Question

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

Answer 1

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 \(t=0\)?

Answer 2

thanks what about number c do u have any idea

Answer 3

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

Answer 4

there is no graph

Answer 5

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