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Výpočet úhlu mezi vektory
Urči velikost úhlu mezi následujícími vektory:
\( \large\left(1;9\right)\:{a}\left(-1;-9\right) \)
\( \textrm{cos} (\varphi) =\frac{−82}{\sqrt{82}\ .\ \sqrt{81}} \)
\( \varphi = 90^{\circ} \)
\( \textrm{cos} (\varphi) =\frac{−82}{\sqrt{81}\ .\ \sqrt{82}} \)
\( \varphi = 45^{\circ} \)
\( \textrm{cos} (\varphi) =\frac{−81}{\sqrt{82}\ .\ \sqrt{82}} \)
\( \varphi = 0^{\circ} \)
\( \textrm{cos} (\varphi) =\frac{−82}{\sqrt{82}\ .\ \sqrt{82}} \)
\( \varphi = 180^{\circ} \)