## Vector calculus

Vector calculus is a field of mathematics concerned with multivariate real analysis of vectors in two or more dimensions. It consists of a suite of formulas and problem solving techniques very useful for engineering and physics. ...more on Wikipedia about "Vector calculus"

(Vector calculus identities) The curl of the gradient of any scalar field $\ \psi$ is always zero: ...more on Wikipedia about "Vector calculus identities"

In mathematics a vector field is a construction in vector calculus which associates a vector to every point in a Euclidean space. ...more on Wikipedia about "Vector field"

== Vector fields in cylindrical coordinates == ...more on Wikipedia about "Vector fields in cylindrical and spherical coordinates"

A vector operator is a type of differential operator used in vector calculus. Vector operators are defined in terms of del, and include the gradient, divergence, and curl: ...more on Wikipedia about "Vector operator"

In vector calculus, a vector potential is a vector field whose curl is a given vector field. This is analogous to a scalar potential, which is a scalar field whose negative gradient is a given vector field. ...more on Wikipedia about "Vector potential"

The vector resolute of two vectors, $\mathbf\left\{b\right\}$ in the direction of $\mathbf\left\{a\right\}$ (also "$\mathbf\left\{b\right\}$ on $\mathbf\left\{a\right\}$"), is given by: ...more on Wikipedia about "Vector resolute"

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