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3. On the geometry of lines and planes in R 3 .

(a) Write a âvector equationâ for the plane P in R 3 containing the points (1, 1, 1),(1, 0, 1), and (0, 2, 2)

(b) Does P contain the origin 0 = (0, 0, 0)? Does it contain (0, 0, 2)? Justify your answer (i.e. do not just write âyesâ or ânoâ).

(c) Find the line L that is perpendicular to P and passes through (1, 1, 1)

(d) What is the distance from (0, 0, 0) to L?

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Trinidad TremblayLv2

18 Mar 2019

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