题目内容
定义一种新运算:
?
=|
||
|sinθ,其中θ为
与
的夹角.已知
=(-
,1),
=(
,0),则
?
=______.
| a |
| b |
| a |
| b |
| a |
| b |
| a |
| 3 |
| b |
| 1 |
| 2 |
| a |
| b |
|
|=
=2,|
|=
=
,
•
=-
由向量夹角公式得cosθ=
=-
,θ=150°∴sinθ=
,
∴
?
=|
||
|sinθ=2×
×
=
,
故答案为:
| a |
(-
|
| b |
(
|
| 1 |
| 2 |
| a |
| b |
| ||
| 2 |
由向量夹角公式得cosθ=
| ||||
|
|
| ||
| 2 |
| 1 |
| 2 |
∴
| a |
| b |
| a |
| b |
| 1 |
| 2 |
| 1 |
| 2 |
| 1 |
| 2 |
故答案为:
| 1 |
| 2 |
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