问题 填空题
已知向量
OA
=(0,1),
OB
=(k,k),
OC
=(1,3)
,若
AB
AC
,则实数k=______.
答案

由题意可得

AB
=
OB
-
OA
=(k,k-1),

AC
=
OC
-
OA
=(1,2),∵
AB
AC

∴2k-(k-1)=0,解得k=-1

故答案为:-1

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