#every vector in plane tangent to S perpendicular to the normal vector of S?

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zealous shale
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I read the following a few times and I still don't get it, could you give me a hint or perhaps you know of a page explaining that concept?

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long zealotBOT
sterile jungle
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Think about the 1 to 2 dimensional case.

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Let your surface be y= x^2, and you want to find the tangent line at (0,0).