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Determine the shortest distance between the following settings. Express your answer in exact form. a) p(-2, 0, 3) and the plane 2x - 3y +

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Determine the shortest distance between the following settings. Express your answer in exact form. a) p(-2, 0, 3) and the plane 2x - 3y + z-5 = 0 |b) p(1, -5, 2) and the line (x, y, z) = (6, 0, 1) + t( 3, 1, 2) Determine the acute angle between two following planes: 71:3x - 2y +z - 2=0 72: x- 2y + 3z +1 =0 Determine the scalar equation of a plane containing the following two line: L1: x =1+3s y =4- 7s and L2: (1,4,5) + t(1, -1,3) z = 5+ 2s

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