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Multivariable CalculusMediumLines & Planes in Space

Lines & Planes in Space · Medium problem

For what value of kk does the line r(t)=(1,0,2)+t⟨2,k,−1⟩\mathbf r(t) = (1, 0, 2) + t\langle 2, k, -1\rangle lie ENTIRELY inside the plane x+3y+z=3x + 3y + z = 3?