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PLEASE SHOW WORK FOR ALL :) 1) Given the vectors a = <17,-5,6>, b = <1,0,4>,...

PLEASE SHOW WORK FOR ALL :)

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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