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Question 1. Let a = i + 2j − k and b = i − 3j...

Question 1. Let a = i + 2j − k and b = i − 3j + k

  1. (a) Find vectors v and w such that

    b=v+w

    where v is parallel to a, but w is perpendicular to a.

    (b) Recall that the area of a triangle is half the length of its base times its height. Find
    the area of the triangle with corners at the points (2,0,0), (3,2,−1) and (3,−3,1), and explain what this has to do with the first part of this question.

    part A can be ignored

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