Question #229929

Find the constants a, b, c if the vector F = (2x+3y+az)i + (bx+2y+3z)j + (2x+cy+3z)k is conservative.

Expert's answer

We require

"\\nabla\u00d7 F=0;"

"0=i(c+1)+j(a-4)+k(b-2);"

"c = -1;\\ a = 4;\\ b = 2"

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