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OpenStudy (anonymous):
Find the vector Field F whose vector at the point P=(x,y) runs to the line x+y=1. the solution offered to me was: I knew that I wanted the gradient to be zero at (0,1) (i.e. have the vectors pointing towards the line y=1-x). Thus I found the gradient, set it equal to zero at that point and solved for the x and y components. I got <1-y, -x>. is this correct and more importantly HOW do I find the gradient?
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