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1) Given the vectors a = <17,-5,6>, b = <1,0,4>, and c = <2,1,5> find the following:
a) 3a+2b
b) |5b-c|
c) a unit vector in the direction of 2b
2) given the vectors r = <3,3,-4>, w = <9,0,6> and q = <-4,1,10> find the following:
a) the angle, in rads, between r and w
b) the vector projection of w onto q
c) are r and q orthogonal?
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