问题 填空题
若向量
a
b
满足|
a
|=1,|
b
|=2,且
a
b
的夹角为
π
3
,则
a
b
=______,|
a
+
b
|=______.
答案

|

a
|=1,|
b
|=2
a
b
>=
π
3

a
b
=|
a
| |
b
|cos
π
3
=1×2×
1
2
=1.

|

a
+
b
|=
a
2
+2
a
b
+
b
2
=
12+2×1+22
=
7

故答案为1,

7

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