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1. Determine the following: 3) Determine the vector equation of the plane that contains the following two lines Ll: r = (2, 3, 5) +

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1. Determine the following: 3) Determine the vector equation of the plane that contains the following two lines Ll: r = (2, 3, 5) + t(3, 1, 5),teR L2: r = (2, 3, 5) + s(0,4,3),seR b) Determine the corresponding Cartesian equation. 2. A force, F = [12, 15, 47]N is applied over a distance of ti = [125, 85, 147]m. Determine the amount of work, measured in Joules, done in this situation. Given that these are math questions, I personally find solutions that are written on paper to be preferable. I need full steps for each question. I appreciate your great help. Useful Formulas axb = (a2b3 - a3b2, a3b1 - a1b3, a1b2 - a2b1) |dpt-plane | = n . PQ |d1-12 = PIP2 'n ni . nz X n3 = 0 sin A sin B a b c2 = a2 + 62 - 2ab cos C W = F. d f (x + h) - f(x) lim X-0 h

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