Let L be the line passing through the point P=(4, −5, −5) with direction vector →d=[0, 3, −2]T. Find the shortest distance d from the point P0=(2, −1, 5) to L, and the point Q on L that is closest to P0. Use the square root symbol '√' where needed to give an exact value for your answer.

What is the probability of throwing several dice with sum equal to 6 (six)? show the ways of possibilities for sum 6 (as the numerator) and the ways of throwing n dices for n = 1, 2, 3, 4 or 5 as denominator for all the questions to earn full credits. (a)throw one die, (b) throw two dice, (c) throw three dice (d) throw 4 dice, (e) throw 5 dice