问题 填空题
已知向量
a
b
满足|
a
|=3,|
a
+
b
|=|
a
-
b
|=5
|
b
|
=______.
答案

由足|

a
|=3,|
a
+
b
|=|
a
-
b
|=5得

a
2
+
b
2
+ 2
a
b
=
a
2
+
b
2
- 2
a
b
=5

即2

a
b
=0,所以

a
2
+
b
2
=5,又因为|
a
|=3,所以|
b
|=4

故答案为4

综合题
单项选择题