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Using the unit vectors of a Cartesian coordinate system, prove the following useful identities: a- div(p(v) = (Vp|v) + p div(v| b- div|vw| =

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Using the unit vectors of a Cartesian coordinate system, prove the following useful identities: a- div(p(v) = (Vp|v) + p div(v| b- div|vw| = |vv|w) + (div w)|v) C- div (v|t| = |t|:|Vv| + (v|div t) Hint: use the product rule for the differentiation: a(fg) af .g = g +f.

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