问题 填空题
已知
a
=(1,-2),
b
=(2,k),
c
=(2,-1),若(
a
+
b
)⊥
c
,则k=______.
答案

a
=(1,-2),
b
=(2,k),
c
=(2,-1),(
a
+
b
)⊥
c

∴(

a
+
b
)•
c
=[(1,-2)+(2,k)]•(2,-1)

=(3,k-2)•(2,-1)

=6-k+2=0,

∴k=8.

答案为:8.

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填空题