# Help with parameterization of surface

## Homework Statement

If I have been given a surface x = 12 − y^2 − z^2 between x = 3 and x = 8, oriented by the unit normal which points away from the x–axis.

I want to find an orientation preserving parameterization.

## The Attempt at a Solution

I know orientation preserving means that the normal vector is pointing outward. I'm not sure how to apply this to parameterize this surface however.

LCKurtz
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## Homework Statement

If I have been given a surface x = 12 − y^2 − z^2 between x = 3 and x = 8, oriented by the unit normal which points away from the x–axis.

I want to find an orientation preserving parameterization.

## The Attempt at a Solution

I know orientation preserving means that the normal vector is pointing outward. I'm not sure how to apply this to parameterize this surface however.

Parameterization and orientation are separate issues. Try cylindrical like coordinates only on y and z instead of x and y.

Parameterization and orientation are separate issues. Try cylindrical like coordinates only on y and z instead of x and y.

I figure I can parameterize it no problem but the question literally asks what I said. Find an orientation preserving parameterization. What does that mean?

LCKurtz