Hi I'm having trouble finishing this problem and I'd appreciate it if someone could help me out.(adsbygoogle = window.adsbygoogle || []).push({});

I need to find the unit vector normal to x=y^2=z^3 at the point (1,1,1) and it can't have components along the line x=y=z

Heres what I did so far:

1. dx=2ydy=3z^2dz

2. At (1,1,1) dx=2dy=3dz

3. differential length vector dl=dxax+(1/2)dxay+(1/3)dxaz

(ax is the unit vector in the x-direction etc)

4. Rewrote dl as dl=[ax+(1/2)ay+(1/3)az)]dx

If I use the dot product and I let an=normal vector then the dot product of dl and an should equal 0. OK that's as far as I can get :(

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# Homework Help: Normal vector to a curve

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