Vector Analysis
compute properties of a vector
vector {2, -5, 4}
do vector computations
7 {1, 0, -2, 1} - 4 {2, -1, 1, -1}
Gradient
compute the gradient of a function
grad sin(x^2 y)
del z e^(x^2+y^2)
grad of a scalar field
compute the gradient of a function specified in polar coordinates
grad sqrt(r) cos(theta)
Divergence
compute the divergence of a vector field
div (x^2-y^2, 2xy)
div [x^2 sin y, y^2 sin xz, xy sin (cos z)]
divergence calculator
Curl
compute the curl (rotor) of a vector field
curl [-y/(x^2+y^2), -x/(x^2+y^2), z]
rotor operator
Laplacian
compute the Laplacian of a function
Laplace e^x sin y
Laplace x^2+y^2+z^2
laplacian calculator
Vector Analysis Identities
calculate alternate forms of a vector analysis expression