Question: Consider the vectors (1,2,1), v = (2,4,-1), and let U, V, W be the corresponding points in R, respectively. u= W = = (1,-1,3),

Consider the vectors (1,2,1), v = (2,4,-1), and let U, V, W

be the corresponding points in R, respectively. u= W = = (1,-1,3),

Consider the vectors (1,2,1), v = (2,4,-1), and let U, V, W be the corresponding points in R, respectively. u= W = = (1,-1,3), (h) Let L be the line passing through the points U and V. Use Mathematica to find the distance between the point W and the line L. [2 marks] (i) Let L' be the line passing through the point W and the point Q = (1,2,3). Use Mathematica to find the distance between the line L from part (h) and the line L'. [2 marks] you have definitely (Bonus. If your answer to part (h) is smaller than your answer to part (i), then made a mistake. Why is that so?) (j) Let P be the plane passing through the points U, V and W. Use Mathematica to to find the distance between the point Q from part (i) and the plane P. [2 marks]

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