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1. V is a subspace of inner-product space R3, generated by vector u =[2 2 1]T...

1. V is a subspace of inner-product space R3, generated by vector

u =[2 2 1]T and v =[ 3 2 2]T.

(a) Find its orthogonal complement space V┴ ;

(b) Find the dimension of space W = V+ V┴;

(c) Find the angle θ between u and v and also the angle β between u and normalized x with respect to its 2-norm.

(d) Considering v’ = av, a is a scaler, show the angle θ’ between u and v’

a,b,c, and d

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