(i)Define a conservative force field.(1 mrk)
(ii)A conservative force field may be expressed as negative gradient of potential F= -??V. Show that ?? × F = 0
( iii) Show that a force field defined by;
F =(6xyz + z2 )i + 3x2zj + (3x2y + 2 xz )k is a conservative force field.(4 mrks)
(iv)Determine the associated potential (?) to the above force field in (a) (ii) (3 mrks
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