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i have a very basic question in calculus. i know that the tangent to the curve y=f(x) is denoted by dy/dx which makes sense to me geometrically. But normal to a surface k(x1,x2,x3) is Grad k. how is this? it doesnt make sense to me geometrically. can anyone throw more light upon this please

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# Tangent to a curve and normal to the surface

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