Vector Calculus

Maple V Scientific Notebook
UserInputgrad(x*y*z,[x,y,z]) xyz 6pt
UserInputnorm(array([1,-3,4]),p) $\left\Vert\vphantom{ \left( 1,-3,4\right)
}\right.$$\left(\vphantom{ 1,-3,4}\right.$1, - 3, 4$\left.\vphantom{ 1,-3,4}\right)$$\left.\vphantom{ \left( 1,-3,4\right)
}\right\Vert _{{p}}^{}$ 6pt
UserInputcrossprod(array([1,-3,4]),array([2,2,-5])) $\left[\vphantom{
\begin{array}{c}
1 \\
-3 \\
4
\end{array}
}\right.$$\begin{array}{c}
1 \\
-3 \\
4
\end{array}$$\left.\vphantom{
\begin{array}{c}
1 \\
-3 \\
4
\end{array}
}\right]$×$\left[\vphantom{
\begin{array}{c}
2 \\
2 \\
-5
\end{array}
}\right.$$\begin{array}{c}
2 \\
2 \\
-5
\end{array}$$\left.\vphantom{
\begin{array}{c}
2 \\
2 \\
-5
\end{array}
}\right]$ 12pt
UserInputdiverge(vector([x,x*y,y-z]),vector([x,y,z])) ∇⋅$\left(\vphantom{ x,xy,y-z}\right.$x, xy, y - z$\left.\vphantom{ x,xy,y-z}\right)$ 6pt
UserInputcurl(vector([x,x*y,y-z]),vector([x,y,z])) ∇×$\left(\vphantom{ x,xy,y-z}\right.$x, xy, y - z$\left.\vphantom{ x,xy,y-z}\right)$ 6pt
UserInputlaplacian(x^2*y*z^3,[x,y,z]) 2$\left(\vphantom{ x^{2}yz^{3}}\right.$x2yz3$\left.\vphantom{ x^{2}yz^{3}}\right)$ 5.76pt