问题 解答题
设向量
OA
=(3,1),
OB
=(-1,2),向量
OC
OB
BC
OA
,又
OD
+
OA
=
OC
,求
OD
答案

OC
=(x,y),∵
OC
OB
,∴
OC
OB
=0
,∴2y-x=0,①

又∵

BC
OA
BC
=(x+1,y-2),∴3(y-2)-(x+1)=0,

即3y-x-7=0,②由①,②解得   x=14,y=7,∴

OC
=(14,7),

OD
=
OC
-
OA
=(11,6).

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