Question 26.7: If v = x²yzi − 2xyj + yzk find ∇ × v....

=\left[{\frac{\partial(y z)}{\partial y}}-{\frac{\partial(-2x y)}{\partial z}}\right]\mathbf{i}-\left[{\frac{\partial(y z)}{\partial x}}-{\frac{\partial(x^{2}y z)}{\partial z}}\right]\mathbf{j}+\left[{\frac{\partial(-2x y)}{\partial x}}-{\frac{\partial(x^{2}y z)}{\partial y}}\right]\mathbf{k}

={zi+x^{2}y}\mathbf{j}-(2y+x^{2}z)\mathbf{k}