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Multivariable CalculusMediumLines & Planes in Space

Lines & Planes in Space · Medium problem

A plane passes through (1,−1,2)(1, -1, 2) and is parallel to both vectors ⟨1,0,2⟩\langle 1, 0, 2\rangle and ⟨0,1,−1⟩\langle 0, 1, -1\rangle. It crosses the zz-axis at (0,0,c)(0, 0, c). Find cc.