(Solved): Two sinusoidally time-varying, linearly polarized vector fields are given at a point by \[ \begin{ ...

Two sinusoidally time-varying, linearly polarized vector fields are given at a point by \[ \begin{array}{l} \vec{F}_{1}=(c \hat{x}+\hat{y}+c \hat{z}) \cos (\omega t) \\ \vec{F}_{2}=(\hat{x}+c \hat{y}-c \hat{z}) \sin (\omega t) \end{array} \] Find values \( \mathrm{c} \) to obtain the circularly polarized wave of \( \vec{F}=\vec{F}_{1}+\vec{F}_{2} \)