问题 填空题
已知向量
OA
=(4,6)
OB
=(3,5)
,且
OC
OA
AC
OB
,则向量
OC
=______.
答案

设向量

OC
=(x,y)

OA
=(4,6),

AC
=
OC
-
OA
=(x-4,y-6),

OC
OA
AC
OB

∴4x+6y=0,①

5(x-4)-3(y-6)=0,②

∴x=

2
7
,y=-
4
21

OC
=(
2
7
,-
4
21
)

故答案为:(

2
7
,-
4
21

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