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Mathematics
OpenStudy (anonymous):

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

OpenStudy (anonymous):

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 \(t=0\)?

OpenStudy (anonymous):

thanks what about number c do u have any idea

OpenStudy (anonymous):

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

OpenStudy (anonymous):

there is no graph

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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