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I am attempting to calculate unit normal and tangent vectors for a scalar field I have, Φ(x,y). For my unit normal, I simply used:

[itex]\hat{n}=\frac{\nabla \phi}{|\nabla \phi|}[/itex]However, I'm struggling with using this approach to calculate the unit tangent. I need to express it in terms of the gradient of the scalar field but I am having a hard time visualizing this.

Thanks!

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# Unit Tangent Vector in a Scalar Field

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