Question

Asked Jan 26, 2020

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How can you tell when two planes A1 x + B1 y + C1 z = D1 and A2 x + B2 y + C2 z = D2 are parallel? Perpendicular? Give rea-sons for your answer.

Step 1

Two planes are parallel if their normal vectors are parallel.

Normal vector of A1 x + B1 y + C1 z = D1 is (A1,B1,C1)

Normal vector of A2 x + B2 y + C2 z = D2 is (A2,B2,C2)

Step 2

(A1,B1,C1) and (A2,B2,C2) will be parallel i...

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