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Multivariable CalculusMediumLines & Planes in Space

Lines & Planes in Space · Medium problem

The line r(t)=(1,1,4)+t(2,2,0)\mathbf r(t) = (1, 1, 4) + t(2, 2, 0) meets the plane 2x+2y−2z=02x + 2y - 2z = 0 at one point. Find that point.