Câu 3:
a: \(\overrightarrow{BA}=\left(-2;6\right)\)
\(\overrightarrow{BC}=\left(3;1\right)\)
Vì \(\overrightarrow{BC}\cdot\overrightarrow{BA}=0\)
nên ΔABC vuông tại B
b: \(\overrightarrow{AB}=\left(2;-6\right)\)
\(\overrightarrow{AC}=\left(5;-5\right)\)
\(\cos\left(\overrightarrow{AB},\overrightarrow{AC}\right)=\dfrac{2\cdot5+6\cdot5}{\sqrt{2^2+6^2}\cdot\sqrt{5^2+5^2}}=\dfrac{2\sqrt{5}}{5}\)