问题 填空题
设x∈R,向量
a
=(x,1),
b
=(1,-2),且
a
b
,则|
a
+2
b
|=______.
答案

由题意可得

a
b
=(x,1)•(1,-2)=x-2=0,解得x=2,

a
+2
b
=(x+2,-3)=(4,-3),∴|
a
+2
b
|=
16+9
=5,

故答案为 5.

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