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3.6. Consider a linear function (x,y,z) = ax + by + cz. Show that V6 is constant. Show that when a, b, c are not all zero V5 is normal to the level set 6 = 0. 3.7. Consider two linear functions {'(x,y) = x+ 2y and m(x, y) = 3(x,y). Sketch level sets 6' = 1,0,1 and m = 1,0, 1. For which function are these more closely spaced? Determine the gradient vectors V(x,y) and Vm(x,y). For which function are these vectors longer? 3.8. Let X be in R\". Find the gradients. (a) V(2||XII\"2) (b) V(||X||") (c) VGIIXII'). #0