题目内容
若
=(2,-1,0),
=(3,-4,7),且(λ
+
)⊥
,则λ的值是( )
a |
b |
a |
b |
a |
分析:利用(λ
+
)⊥
?(λ
+
)•
=0即可得出.
a |
b |
a |
a |
b |
a |
解答:解:∵λ
+
=λ(2,-1,0)+(3,-4,7)=(3+2λ,-4-λ,7),
(λ
+
)⊥
,
∴(λ
+
)•
=0,
∴2(3+2λ)-(-4-λ)+0=0,
解得λ=-2.
故选C.
. |
a |
b |
(λ
a |
b |
a |
∴(λ
a |
b |
a |
∴2(3+2λ)-(-4-λ)+0=0,
解得λ=-2.
故选C.
点评:熟练掌握(λ
+
)⊥
?(λ
+
)•
=0是解题的关键.
a |
b |
a |
a |
b |
a |
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