Application Engineering
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Application of vectors in field of engineering?
please tell me the Application of vectors in field of engineering with special reference of gradient,Divergence and Curl , in detail urgently.
This is a silly question. Vectors describe space, and differentiation is fundamental to most physics, so vectors are at the basis of everything.
They are used constantly in many different areas. The fundamental equations governing electrodynamics (Maxwell's equations) and fluid dynamics (Navier-Stokes equations) include gradient, laplacian, curl, and divergence terms. So, fundamentally, everything involving electricity, magnetism, and fluid (or air) flow derives from grad/div/curl/laplacian operators.
Different vector/differentiation operators also show up in many different Hamiltonians for Schrodinger's (wave) equation, so fundamentally everything down to the quantum level derives from vector/differentiation operators.
More practically/specifically, in antenna/scattering problems, you need to find the vector and scalar potentials due to a current distribution and use that to find the electromagnetic fields of an object. Determining the fields from the potentials requires use of grad/div/curl operators. Many problems involving a surface or volume integral can be transformed to a "lower-dimensional" integral by using vector calculus.
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