题目内容
已知|
|=|
|=2,(
+2
)•(
-
)=-2,则
与
的夹角为______.
| a |
| b |
| a |
| b |
| a |
| b |
| a |
| b |
∵|
|=|
|=2,
∴|
|2=|
|2=4
∵(
+2
)•(
-
)=-2
展开得:|
|2+
•
-2|
|2=4cosθ-4=-2,
即cosθ=
又∵0≤θ≤π
故θ=
故答案为:
| a |
| b |
∴|
| a |
| b |
∵(
| a |
| b |
| a |
| b |
展开得:|
| a |
| a |
| b |
| b |
即cosθ=
| 1 |
| 2 |
又∵0≤θ≤π
故θ=
| π |
| 3 |
故答案为:
| π |
| 3 |
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