6) Consider the plane P:x+y−2z=0 in ℜ3 that contains the point P1(1,1,1). Answer the following questions: [6] 6.1) Writ
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6) Consider the plane P:x+y−2z=0 in ℜ3 that contains the point P1(1,1,1). Answer the following questions: [6] 6.1) Writ
6) Consider the plane P:x+y−2z=0 in ℜ3 that contains the point P1(1,1,1). Answer the following questions: [6] 6.1) Write down the parametric equations of the straight line L that contains P1 and is perpendicular to P. (2) 6.2) Find the equation of the plane P′ that is at distance 1 from P, is parallel to P and lies above P. (4)
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