(a) Given that V= əx ə a i+ j+ -k. Show that V.VB=V²B where is a scalar ду əz (b) If M and N are differentiable vector functions in R³, prove that Vx (M+N) = VxM+VxN, hence or otherwise, find the unit vector of Vx (M+N), given that M =i+x cos(2z)j +xek and N=3zyi +4x³e²j+ln(xy²)k at (−1, 2, 0)

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