Câu 3:
Để A giao B bằng rỗng thì \(\left[{}\begin{matrix}m+2< 0\\m>5\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}m< -2\\m>5\end{matrix}\right.\)
Câu 4:
Xét ΔABC có \(cosABC=\dfrac{BA^2+BC^2-AC^2}{2\cdot BA\cdot BC}\)
=>\(\dfrac{10^2+6^2-AC^2}{2\cdot10\cdot6}=cos60=\dfrac{1}{2}\)
=>\(136-AC^2=2\cdot10\cdot\dfrac{6}{2}=60\)
=>\(AC^2=136-60=76=\left(2\sqrt{19}\right)^2\)
=>\(AC=2\sqrt{19}\left(cm\right)\)