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Consider the Vector Field F⃗=(Ax+By)i⃗+(Bx+Cy)j⃗\vec { F } = ( A x + B y ) \vec { i } + ( B x + C y ) \vec { j }

Question 57

Essay

Consider the vector field F⃗=(Ax+By)i⃗+(Bx+Cy)j⃗\vec { F } = ( A x + B y ) \vec { i } + ( B x + C y ) \vec { j } for certain constants A, B and C.
Show that F⃗\vec{F} is path-independent by finding its potential function.

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A potential function...

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