(Solved): please help Name the quadrant \( \theta \) lies in if \( \csc \theta>0 \) and \( \tan \theta ...

Name the quadrant \( \theta \) lies in if \( \csc \theta>0 \) and \( \tan \theta<0 \) a) Quadrant II b) Quadrant III c) Quadrant IV d) Quadrant I A vector v has magnitute \( |\mathrm{v}|=7 \) and has direction \( \theta=210^{\circ} \). Write in terms of I and \( ] \). \( \mathbf{v}=\frac{7 \sqrt{3}}{2} \mathbf{i}+\frac{7}{2} \mathbf{j} \) b) \( \mathbf{v}=-\frac{7 \sqrt{3}}{2} \mathbf{i}+\frac{7}{2} \mathbf{j} \) c) \( \mathbf{v}=\frac{7 \sqrt{3}}{2} \mathbf{i}-\frac{7}{2} \mathbf{j} \) d) \( \mathbf{v}=-\frac{7 \sqrt{3}}{2} \mathbf{i}-\frac{7}{2} \mathbf{j} \)