若向量a,b满足|a|=1,|b|=2,|a-b|=2,则a•b= _ .
问题描述:
若向量
,a
满足|b
|=1,|a
|=2,|b
-a
|=2,则b
•a
= ___ .b
答
由条件得:|
-a
|2=b
2-2a
•a
+b
2=1-2b
•a
+4=4;b
∴
•a
=b
.1 2
故答案为:
.1 2