Curl of vector F = x2z2î + 2xy2ĵ + 2y2z3k̂

1. (4yz³ + 2xy²)î + 2x²zĵ - 2y²z³k̂
2. (4yz³ + 2xy²)î - 2x²zĵ - 2y²zk̂
3. 2xz²î - 4xyzĵ + 6y²z²k̂
4. 2xz²î + 4xyzĵ + 6y²z²k̂

Given F = x²z²i - 2xy²j + 2y²z³k

= i(4yz³ + 2xy²) - j(0 - 2x²z) + k(-2y² z - 0)
= (4yz² + 2xy² + 2x² zj) - 2y² zk