Make a simple sketch of the vector field F=(x-y)i +x].

1-6 Sketch the vector field F by drawing a diagram as in figure 3. F(x,y)=i+xj

1-6 Sketch the vector field F by drawing a diagram as in figure 3. F(x,y)=(xy)i+xj

Let f1(x)=3x and f2(x)=|x|. Graph both functions on the interval 2x2. Show that these functions are linearly dependent in the vector space C[0,1], but linearly independent in C[1,1].