Question: If a, b, and c are not all 0, show that the equation ax + by + cz + d = 0 represents a plane

If a, b, and c are not all 0, show that the equation ax + by + cz + d = 0 represents a plane and (a, b, c) is a normal vector to the plane. Suppose a ≠ 0 and rewrite the equation in the form + b(y – 0) + c(z – 0) = 0

+ b(y 0) + c(z 0) = 0

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