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Consider the two points P(1, 1, 5) and Q(1, 1, 6) and the vector 2 v = 2 3 You are given that 4} 0

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Consider the two points P(1, 1, 5) and Q(1, 1, 6) and the vector 2 v = 2 3 You are given that 4} 0 P63 : 0 71 Let E be the straight line in R3 through the point P parallel to the vector v. Calculate the quantities below and enter them in the boxes provided using Maple notation. Remember to give exact answers using Maple notation. For 1 example, for 2V4? enter 2 *sth (47) and for the vector 2 enter . 3 } . , The projection of PQ onto v is the vector pIOJvPQ = ' ins- The shortest distance between the line 3 and the point Q is ' ' n IE

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