vector derivatives, physics homework help
Given the vector field A= (r^)/r, where r is the radial spherical coordinate and (r^) is the corresponding unit vector, evaluate (∇^2)A…(Hint: dont try to write down (∇^2) in spherical coordinates. Use an appropriate vector identity to compute (∇^2)A )
Info:
(x^) (y^) (z^) ^ is caret/hat
(r^) is r caret/hat and it is equal to
sin(theta)cosφ(x^)+ sin(theta)sin(φ)(y^)+ cos(theta)(z^)
r= (x^2 +y^2 +z^2)^1/2