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Q: What is the physical interpretation of divergence of vector field function?
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What is physical significance of divergence?

Divergence is a vector operator that measures the magnitude of a vector fields source or sink at a given point.


What is physical interpretation of vector space?

A vector has two properties: magnitude and direction. The representation of a vector is an arrow. The tip of the arrow points to the direction the vector is acting. The length of the arrow represents the magnitude.


What is the formula of the divergence of the function?

The divergence of the function is generally a cross product of partial derivatives and the vector field of F. Mathematically, the formula is: div(F) = ∂P/∂x i + ∂Q/∂y j + ∂R/∂z k where: F = Pi + Qj + Rk has the continuous partial derivatives.


What is the difference between curl and divergence?

Divergence: rate of spread of vector in free space for non closed path. and Curl: rate of spread of vector in free space for closed path.


What has the author Richmond Beckett McQuistan written?

Richmond Beckett McQuistan has written: 'Scalar and vector fields: a physical interpretation' -- subject(s): Scalar field theory, Vector analysis


How does vector calculus apply in fluid mechanics?

The velocity at each point in the fluid is a vector. If the fluid is compressible, the divergence of the velocity vector is nonzero in general. In a vortex the curl is nonzero.


Definition of Divergence of a vector field?

hedivergence of a vector fieldF= (F(x,y),G(x,y)) with continuous partial derivatives is defined by:


What has the author Urve Kangro written?

Urve Kangro has written: 'Divergence boundary conditions for vector helmholtz equations with divergence constraints' -- subject(s): Boundary conditions, Helmholtz equations, Coercivity, Boundary value problems, Divergence


Is curl of vector function F must perpendicular to every vector function f?

No, the curl of a vector field is a vector field itself and is not required to be perpendicular to every vector field f. The curl is related to the local rotation of the vector field, not its orthogonality to other vector fields.


Dot and cross product between 3D and 4D?

here are the possible answers: A) A tridimensional vector B) A 4D vector C) A 5D vector D) An scalar number E) It is undefined


A physical quantity that has both magnitude and directions is?

Such a physical quantity is a vector.


When a vector is multiplied by a scalar physical quantitythen what will be dimensions of resulting vector?

The same as the original vector. The scalar will change the numbers, but not the dimensions.