MathCastle
Multivariable CalculusEasyLines & Planes in Space

Lines & Planes in Space · Easy problem

A plane passes through the origin and is perpendicular to the line r(t)=(1,1,1)+t⟨2,−3,1⟩\mathbf r(t) = (1, 1, 1) + t\langle 2, -3, 1\rangle. The point (1,1,c)(1, 1, c) lies on this plane. Find cc.