Question: Please help with h, i, j Question 3. Vector and geometry (15 marks) Consider the vectors u=(1,2,1),v=(2,4,1),w=(1,1,3), and let U,V,W be the corresponding points in
Please help with h, i, j


Question 3. Vector and geometry (15 marks) Consider the vectors u=(1,2,1),v=(2,4,1),w=(1,1,3), and let U,V,W be the corresponding points in R3, respectively. (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] (Bonus. If your answer to part (h ) is smaller than your answer to part (i), then you have definitely 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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