6—Vector Spaces 1676.37 Take the functionsf 1 ,f 2 , andf 3 from the preceding problem and sketch the shape of the functions
r e−rf 1 (θ,φ), r e−rf 2 (θ,φ), r e−rf 3 (θ,φ)To sketch these, picture them as defining some sort of density in space, ignoring the fact that they are sometimes
negative. You can just take the absolute value or the square in order to visualize where they are big or small. Use
dark and light shading to picture where the functions are big and small. Start by findingwhere they have the
biggest and smallest magnitudes. See if you can find similar pictures in an introductory chemistry text.