1) For which values of k are the following vectors u and v orthogonal?

a) u = (2,1,3) , v = (1,7,k)

b) u = (k,k,1) , v = (k,5,6)

2) Let u,v be orthogonal unit vectors. Prove that d(u,v) = 2^(1/2)

(The questions are unrelated)

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