Question: 1. Consider U = {(x, y, z) R 3 | x = z + y 2} and W = {(x, y, z) R 3 |

1. Consider U = {(x, y, z) R 3 | x = z + y 2} and W = {(x, y, z) R 3 | y = 1}.

(a) What is the dimension of U?

(b) Sketch the intersection of W and U. What is the dimension of the intersection?

(c) Sketch U.

1. Consider U = {(x, y, z) R 3 | x =

1. Consider U={(x,y,z)R3x=z+y2} and W={(x,y,z)R3y=1}. (a) What is the dimension of U ? (b) Sketch the intersection of W and U. What is the dimension of the intersection? (c) SketchU

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