Question 1
(i) Construct the contour plot of the scalar field π: β2 β β such that π(π₯, π¦) = π₯ 2 β π¦.
(ii) Sketch the vector field π βΆ β2 β β2 defined as follows π(π₯, π¦) = (π₯ + π¦, βπ₯).Β
i)
A contour plot is a graphical technique for representing a 3-dimensional surface by plotting constant z slices, called contours, on a 2-dimensional format. That is, given a value for z, lines are drawn for connecting the (x,y) coordinates where that z value occurs.
ii)
"V(0,1)=(1,0)"
"V(1,0)=(1,-1)"
"V(-1,1)=(0,1)"
"V(1,-1)=(0,-1)"
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