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Project ID:
9000037509
Accepted:
1
Clonable:
0
Easy:
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Sú dané komplexné čísla
\[
a = 3\left (\cos \frac{\pi }
{3} + \mathrm{i}\sin \frac{\pi }
{3}\right ),\quad b = \sqrt{2}\left (\cos \frac{2\pi }
{3} + \mathrm{i}\sin \frac{2\pi }
{3}\right ).
\]
Určte súčin \(ab\).
\(- 3\sqrt{2}\)
\(3\sqrt{2}\left (\cos \frac{\pi }{2} + \mathrm{i}\sin \frac{\pi }{2}\right )\)
\(3\sqrt{2}\left (\cos \frac{\pi }{2} -\mathrm{i}\sin \frac{\pi }{2}\right )\)
\(- 3\sqrt{2}\left (\cos \frac{\pi }{2} + \mathrm{i}\sin \frac{\pi }{2}\right )\)