Let  u = -5i + 3j + 3k, v = -4i + 3k and w = 3i - 4j + 3k. a) Find | -4u + v + j |.  b)Find the vector projection of w on v. c)Find the cosine angle between u and w. Leave your answer correct to two decimal places. d)Find the area of the triangle determined by v and w. Please leave your answer correct to two decimal places. e)Find the volume of the box (parallelepiped) determined by the vectors u, v and w.

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