题目内容
已知向量
,
满足:|
|=1,|
|=6,
•(
-
)=2,则
与
的夹角为______;|2
-
|=______.
| a |
| b |
| a |
| b |
| a |
| b |
| a |
| a |
| b |
| a |
| b |
∵|
|=1,|
|=6,
•(
-
)=2
∴
•
-
2=2
∴1×6cosθ-1=2
∴cosθ=
∵0≤θ≤π
∴θ=
π
∵|2
-
|=
)2=
=
=2
故答案为:
π,2
| a |
| b |
| a |
| b |
| a |
∴
| a |
| b |
| a |
∴1×6cosθ-1=2
∴cosθ=
| 1 |
| 2 |
∵0≤θ≤π
∴θ=
| 1 |
| 3 |
∵|2
| a |
| b |
(2
|
4
|
4-4×1×6×
|
| 7 |
故答案为:
| 1 |
| 3 |
| 7 |
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