题目内容
设x,y∈R,向量
=(-1,x),
=(y,1),
=(4,2),且
⊥
,
∥
,则|
+
|=______.
| a |
| b |
| c |
| a |
| b |
| b |
| c |
| a |
| b |
∵
⊥
,∴x-y=0①,又
∥
,∴2y-4=0②,
由①②解得x=y=2,故
=(-1,2),
=(2,1),
故
+
=(1,3),所以|
+
|=
=
故答案为:
| a |
| b |
| b |
| c |
由①②解得x=y=2,故
| a |
| b |
故
| a |
| b |
| a |
| b |
| 12+32 |
| 10 |
故答案为:
| 10 |
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相关题目
设x,y∈R,向量
=(x,1),
=(1,y),
=(2,-4),且
⊥
,
∥
,则
+
=( )
| a |
| b |
| c |
| a |
| c |
| b |
| c |
| a |
| b |
| A、(3,3) | ||
| B、(3,-1) | ||
| C、(-1,3) | ||
D、(3,
|