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3. Write your answers for this question on the Answer Sheets, Page 2 Given a point P[1, 1, 2} and a plane 11' in R3 dened by the equation 2:5 + y 22: = l]. (a) Find an equation of the line, passing through the point P, that is perpendicular to the given plane 7r. (In) Find the minimum distance from the point P to the given plane r. (C) Use orthogonal projection to nd the point of intersection of the plane 1r with the line found in part (a). 4. Write your answers for this question on the Answer Sheets, Page 2 Let R' and E? be vectors in IR\". Prove that mm = WI = l?+ nu, than u? an\" = 3W