# GATE Papers >> ECE >> 2016 >> Question No 115

Question No. 115
Consider the time-varying vector $\mathbf I=\widehat{\mathrm x}\;15\;\cos\left(\mathrm{ωt}\right)+\widehat{\mathrm y}\;5\;\sin\left(\mathrm{ωt}\right)$ in Cartesian coordinates, where $\mathrm{\omega }>0$ is a constant. When the vector magnitude is at its minimum value, the angle $\mathrm{\theta }$ that $\mathrm{I}$ makes with the x axis (in degrees, such that $0\le \mathrm{\theta }\le 180$) is ________