part a & b
• (a) Find a smooth vector field F on Rể such that F(2,4) || = ||(x, y) and at each point || r. , (x,y) other than the origin, F(x, y) is a vector normal to the curve of the form xy = that passes through that point. (b) Find a smooth vector field F on Rº such that |F (2. YIN (2.y and, at each point (x, y) other than the origin, F(x, y) is a vector tangent to the curve of the form cy=c that passes through that point.
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