Question: True or false. Explain your reasoning. a) The equation = [1,2,5] + [1,2,3] + [2,4,6] defines a plane. b) The line { = and =

True or false. Explain your reasoning.

a) The equation = [1,2,5] + [1,2,3] + [2,4,6] defines a plane.

b) The line { = and = 3 + 2 and = 1 } is parallel to the plane 2 + + z.

c) The equation of a plane can be represented using a vector, parametric, symmetric or cartesian equation.

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