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Lines and Planes Constants

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September 23rd, 2022

A) If a and b are constants that are not both zero then an equation of the form ax+by+c=0
represents a line in R^2 with normal nbar=(a,b)

B) If a, b and c are constants that are not all zero, then an equation of the form ax+by+cz+d=0
represents a plane in R^3 with normal nbar=(a,b,c)

Please demonstrate how to prove the theorem parts (B and C) in detail.

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