3.3.6 Line and plane in space

Problem: Find the sine of the angle between the straight line \( l_{1} \) and the plane \( S \), where \[ l_{1}:\left\{\begin{array}{c} x=y^{2} \\ z=y \end{array}, \quad S: x^{2}+y^{2}+z^{2}=4 .\right. \]