题目内容
已知|
|=1,|
|=2,
与
的夹角为60°.
(1)求
•
,(
-
)•(
+
);
(2)求|
-
|.
| a |
| b |
| a |
| b |
(1)求
| a |
| b |
| a |
| b |
| a |
| b |
(2)求|
| a |
| b |
(1)
•
=|
||
|cos60°=1×2×
=1(3分)
(
-
)•(
+
)=
2-
2=1-4=-3------------…(6分)
(2)|
-
|=
=
(9分)
=
=
(12分)
| a |
| b |
| a |
| b |
| 1 |
| 2 |
(
| a |
| b |
| a |
| b |
| a |
| b |
(2)|
| a |
| b |
(
|
|
=
| 1-2+4 |
| 3 |
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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° |