题目内容
已知
,
均为非零向量,满足|
|=|
|=|
+
|,求
与
-
的夹角.
| a |
| b |
| a |
| b |
| a |
| b |
| a |
| a |
| b |
由|
|2= |
+
|2得:
•
=-
|
|2
∴cos<
,
-
>=
=
=
∵夹角的范围是[0,π]
故
与
-
的夹角为
| a |
| a |
| b |
| a |
| b |
| 1 |
| 2 |
| a |
∴cos<
| a |
| a |
| b |
| ||||||
|
|
| ||||||||||
|
|
| ||
| 2 |
∵夹角的范围是[0,π]
故
| a |
| a |
| b |
| π |
| 6 |
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