Line has equation r = (-5i + 10j+k) + (61-3j+ 2k) where 1 is a scalar....

  

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Line has equation r = (-5i + 10j+k) + (61-3j+ 2k) where 1 is a scalar. Line 2 has equation r = = (12i+14j5k)+(-i-2j+ 2k) where is a scalar. a) Show that lines I, and 12 meet, and find the coordinates of point M which is their point of intersection. 0 is the acute angle between lines and 2. b) Find cose, giving your answer in the form where c and d are integers. c) Point N(5, 0, 9) lies on line 2. Find the shortest distance from point N to line 4. Give your answer in the form a17 b where a and b are integers. Line has equation r = (-5i + 10j+k) + (61-3j+ 2k) where 1 is a scalar. Line 2 has equation r = = (12i+14j5k)+(-i-2j+ 2k) where is a scalar. a) Show that lines I, and 12 meet, and find the coordinates of point M which is their point of intersection. 0 is the acute angle between lines and 2. b) Find cose, giving your answer in the form where c and d are integers. c) Point N(5, 0, 9) lies on line 2. Find the shortest distance from point N to line 4. Give your answer in the form a17 b where a and b are integers.