Finn tangentplanet til kula x2+y2+z2=14x^2+y^2+z^2=14x2+y2+z2=14 i (1,2,3)(1,2,3)(1,2,3).
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∇F=(2x,2y,2z)=(2,4,6)\nabla F=(2x,2y,2z)=(2,4,6)∇F=(2x,2y,2z)=(2,4,6).
Plan: 2(x−1)+4(y−2)+6(z−3)=02(x-1)+4(y-2)+6(z-3)=02(x−1)+4(y−2)+6(z−3)=0.
Deler på 2: x+2y+3z=14x+2y+3z=14x+2y+3z=14.
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