Teaching RPSC School Lecturer Mock Test Series 2024 Engineering Mathematics Calculus Vector Calculus
निम्न में से कौन सा सत्य कथन है?
1
∇ × (∇ϕ) = \(\overline{0}\)
2
∇ ⋅ (ϕ\(\overline{f}\)) = ϕ(∇f) + \(\overline{f}\) ⋅ (∇ϕ)
3
∇ ⋅ (\(\overline{f}\) × \(\overline{g}\)) = \(\overline{g}\) ⋅ (∇ × \(\overline{f}\)) − \(\overline{f}\) ⋅ (∇ × \(\overline{g}\))
4
∇ × (∇ × \(\overline{f}\)) = ∇(∇ ⋅ \(\overline{f}\)) + ∇2\(\overline{f}\)
5
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