Vectors

$(2.89 (\cos(62.31 °) + i \sin(62.31 °))) (11 (\cos(102.05 °) + i \sin(102.05 °)))$

Converting to rad:

$\frac{289}{100}\left(\cos \left(\frac{2077\pi }{6000}\right)+i\sin \left(\frac{2077\pi }{6000}\right)\right)\cdot \:11\left(\cos \left(\frac{2041\pi }{3600}\right)+i\sin \left(\frac{2041\pi }{3600}\right)\right)$

$\mathrm{Use\:the\:Euler's\:formula}:\quad \cos \left(x\right)+i\sin \left(x\right)=e^{ix}$

$\frac{289}{100}\left(\cos \left(\frac{2077\pi }{6000}\right)+i\sin \left(\frac{2077\pi }{6000}\right)\right)11\left(\cos \left(\frac{2041\pi }{3600}\right)+i\sin \left(\frac{2041\pi }{3600}\right)\right)=11\frac{289}{100}e^{i\frac{2041\pi }{3600}}e^{i\frac{2077\pi }{6000}}$

$11\cdot \frac{289}{100}e^{i\frac{2041\pi }{3600}}e^{i\frac{2077\pi }{6000}}$

$\frac{3179\left(-1\right)^{\frac{4109}{4500}}}{100}$

-Vinculum