Question: (a) Find two planes in R3 which intersect in the line given by x = 2 + 3t, y = 1 2t, 2 = I.

(a) Find two planes in R3 which intersect in the line

(a) Find two planes in R3 which intersect in the line given by x = 2 + 3t, y = 1 2t, 2 = I. (Give the equations of the planes, and be sure to provide justification that your example has the properties required.) (b) Find two different planes which have the same intersection as (a), and explain why this is possible both geometrically and algebraically

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