题目内容
若
=(5,-7),
=(-1,2),且(
+λ
)⊥
,则实数λ的值为
.
| a |
| b |
| a |
| b |
| b |
| 19 |
| 5 |
| 19 |
| 5 |
分析:利用(
+λ
)⊥
?(
+λ
)•
=0,解出即可.
| a |
| b |
| b |
| a |
| b |
| b |
解答:解:∵
+λ
=(5-λ,-7+2λ),(
+λ
)⊥
,
∴(
+λ
)•
=-(5-λ)+2(-7+2λ)=0,解得λ=
.
故答案为
.
| a |
| b |
| a |
| b |
| b |
∴(
| a |
| b |
| b |
| 19 |
| 5 |
故答案为
| 19 |
| 5 |
点评:熟练掌握向量垂直与数量积的关系是解题的关键.
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