(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

v= (a.r)rwherer=xi+yj+zkandais a constant vector

show [tex]\nabla[/tex].v= 4(a.r)

I leta= ai+bJ+ck

then (a.r) = ax+by+cz

then this (a.r)r= ax[tex]^{2}[/tex]i+by[tex]^{2}[/tex]j+cz[tex]^{2}[/tex]k

[tex]\nabla[/tex].v= da1/dx+da2/dz+da3/dz =2ax+2by+2cz

which is equal to 2(a.r)

am i wrong or the book?

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# Homework Help: Divergence of a variable vector

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