Del vs. Laplacian Operator : Quick Question

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SUMMARY

The del operator, represented as ∇, is a vector operator used in vector calculus, while the Laplacian operator is a scalar operator defined as the divergence of the gradient of a function. In Cartesian coordinates, the del operator is expressed as ∇ = ∂/∂x î + ∂/∂y ĵ + ∂/∂z k. The Laplacian operator is mathematically defined as ∇²(·) = ∇ · ∇(·), indicating its reliance on the del operator for its computation.

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eurekameh
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Just to clarify: The del operator's a vector and the laplacian operator is just a scalar?
 
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In Cartesian:
Del:
\nabla = \frac{\partial}{\partial x}\hat{\imath} +\frac{\partial}{\partial y}\hat{\jmath}+\frac{\partial}{\partial z}\hat{z}
Laplacian:
\nabla^2(\cdot) = \nabla \cdot \nabla(\cdot)
 

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