Explanation:
Divergence of a vector function \(F = {F_1}\hat i + {F_2}\hat j + {F_3}\hat k\)
\( = \nabla \cdot F = \frac{{\partial {F_1}}}{{\partial x}} + \frac{{\partial {F_2}}}{{\partial y}} + \frac{{\partial {F_3}}}{{\partial z}}\)
Calculation:
Vector = -yi +xj
∴ Divergence
\( = \frac{\partial }{{\partial x}}\left( { - y} \right) + \frac{\partial }{{\partial y}}\left( x \right) = 0 + 0 = 0\)
