问题 填空题
a
=(2,-3),
b
=(1,2),
c
=(9,4),且
c
=m
a
+n
b
,则m=______,n=______.
答案

∵若

a
=(2,-3),
b
=(1,2)

m

a
+n
b
=m(2,-3)+n(1,2)=(2m,-3m)+(n,2n)=(2m+n,-3m+2n)

c
=(9,4),且
c
=m
a
+n
b

∴(9,4)=(2m+n,-3m+2n)

2m+n=9
-3m+2n=4

∴m=2,n=5

故答案为:2,5

单项选择题
单项选择题