题目内容
已知|
|=1,|
|=2,
与
的夹角为120°,
+
+
=0,则
与
的夹角为( )
| a |
| b |
| a |
| b |
| a |
| b |
| c |
| a |
| c |
| A.150° | B.90° | C.60° | D.30° |
∵
+
+
=0,∴
=-(
+
),
∵
•
=-
•(
+
)=-
2-
•
=-1-1×2×(-
)=0,
所以
⊥
,夹角为90°.
故选B.
| a |
| b |
| c |
| c |
| a |
| b |
∵
| a |
| c |
| a |
| a |
| b |
| a |
| a |
| b |
| 1 |
| 2 |
所以
| a |
| c |
故选B.
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相关题目
已知|
|=1,|
|=
且
⊥(
-
),则向量
与向量
的夹角是( )
| a |
| b |
| 2 |
| a |
| a |
| b |
| a |
| b |
| A、30° | B、45° |
| C、90° | D、135° |