题目内容
已知
=(1,-2),
=(2,k),
=(2,-1),若(
+
)⊥
,则k=______.
| a |
| b |
| c |
| a |
| b |
| c |
∵
=(1,-2),
=(2,k),
=(2,-1),(
+
)⊥
,
∴(
+
)•
=[(1,-2)+(2,k)]•(2,-1)
=(3,k-2)•(2,-1)
=6-k+2=0,
∴k=8.
答案为:8.
| a |
| b |
| c |
| a |
| b |
| c |
∴(
| a |
| b |
| c |
=(3,k-2)•(2,-1)
=6-k+2=0,
∴k=8.
答案为:8.
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