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Consider the vectors a = 3 1 (1, 2, 0) and b = 3 1 (-2, 1, 0) in R 3 . (a) Calculate the

Consider the vectors a =31 (1, 2, 0) and b =31 (-2, 1, 0) in R3.

(a) Calculate the inner products a,band a,a.

(b) Are these vectors orthogonal? please justify why as I don't know

(c) Are the vectors an orthonormal set of vectors?please justify why as I don't know

(d) Are the vectors a, b and c = a*b an orthonormal basis of R3?

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