问题
填空题
已知在△ABC中,∠BAC=60°,且AB=2,AC=3,则计算
|
答案
∵
•AB
+BC
•BC
+CA
•CA
=(AB
+AB
)•CA
+BC
•CA AB
=-
2-BC
•AC AB
=-(
-AC
)2-AB
•AC AB
=-
2-AC
2+AB
•AB AC
=-9-4+2×3×
=-101 2
故答案为:-10
已知在△ABC中,∠BAC=60°,且AB=2,AC=3,则计算
|
∵
•AB
+BC
•BC
+CA
•CA
=(AB
+AB
)•CA
+BC
•CA AB
=-
2-BC
•AC AB
=-(
-AC
)2-AB
•AC AB
=-
2-AC
2+AB
•AB AC
=-9-4+2×3×
=-101 2
故答案为:-10