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Multivariable CalculusChallengeLines & Planes in Space

Lines & Planes in Space · Challenge problem

Find the distance from the origin to the plane that contains the line r(t)=(2,0,1)+t⟨1,2,−1⟩\mathbf r(t) = (2, 0, 1) + t\langle 1, 2, -1\rangle and is perpendicular to the plane x+y+z=3x + y + z = 3.