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...Calculus math ua fall a describe in words the set of points that satisfy equation x y z solution by rst completing square we see this sphere radius centered at point b inequalities inequality describes solid cylinder whose center is axis and runs parallel to it on its own innitely long lie strictly between planes these are yz plane not including themselves so three together lies consider find projections onto xz recall all for which projection distance each nd p alternatively absolute value coordinate similarly let o denote origin m midpoint line segment ab vector om oa h i n from quarter vectors lengths directions given length direction j v get with same as but divide multiply k r suppose u nonzero show proj orthogonal note indicating one another...