\(\vec{a}\ (0;1),\mid \vec{b} \mid=2,\angle{(\vec{a},\vec{b})}=60^\circ.\) Найдите \(\mid{\vec{a}+2\vec{b}}\mid.\)

• \(\sqrt{23}\)
• \(\sqrt{11}\)
• \(\sqrt{21}\)
• \(\sqrt{17}\)
• \(\sqrt{13}\)