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

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The Answer of Consider the vector field $\vec { F } = ( A x + B y ) \vec { i } + ( B x + C y ) \vec { j }$ for certain constants A, B and C.
Show that $\vec{F}$ is path-independent by finding its potential function.

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 }F=(Ax+By)i+(Bx+Cy)j​

Consider the Vector Field $\vec { F } = ( A x + B y ) \vec { i } + ( B x + C y ) \vec { j }$