An electric dipole with dipole moment p = 6 × 10-³ C · m sets up an electric field (in newtons per coulomb) F(x, y, z) = (3xz, 3yz, 2z² – x² – 1/2 where r = (x² + y² + z²)"² with distance in meters and k = 8.99 x 10° Nm . Calculate the work against F required to move a particle of charge q = 0.03 C from (1, –5, 0) to (2, 3, 4). Note: The force on q is qF newtons. (Use decimal notation. Give your answer to one decimal place.)

An electric dipole with dipole moment p = 6 × 10-³ C · m sets up an electric field (in newtons per coulomb) F(x, y, z) = (3xz, 3yz, 2z² – x² – 1/2 where r = (x² + y² + z²)"² with distance in meters and k = 8.99 x 10° Nm . Calculate the work against F required to move a particle of charge q = 0.03 C from (1, –5, 0) to (2, 3, 4). Note: The force on q is qF newtons. (Use decimal notation. Give your answer to one decimal place.)