问题
填空题
若平面上三点A、B、C满足|
|
答案
由
+AB
+BC
=0可得(CA
+AB
+BC
)2=0,CA
∵|
|=3,|AB
|=4,|BC
|=5CA
|
|2+|AB
|2+|BC
|2+2(CA
•AB
+BC
•AB
+AC
•BC
)=0,AC
9+16+25+2(
•AB
+BC
•BC
+CA
•CA
)=0AB
∴
•AB
+BC
•BC
•CA
=-25.AB
故答案为:-25