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a)

Calculate the dot products u . T and u . ' when u = uji + u2j + ugk, U = vji + V2j + 03k, and u = (ul cos + u2 sin pi) +(-uj sin otuz cos p) jtusk, v = (v1 cos 4+v2 sin pi) +(-v1 sin p+v2 cos4)j+03k. After applying some trig identities, compare your answers. What do you observe?Based on this scenario, would it be fine to choose the x-axis to be parallel to and the vector to lie in the xy-plane while computing the dot product of U . U