Question: I. (a) Two planes given by equations 4x + 3y - 5z = 5 and 2x - y + 32 = 5 intersect in a

I. (a) Two planes given by equations 4x + 3y - 5z = 5 and 2x - y + 32 = 5 intersect in a three-dimensional space along a line. Find equation of that line. (b) Find the shortest distance between the two planes 4x + 3y - 5z = 8 and [10 marks] 3y + 4x + 5z+ 12 =0. [10 marks]

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