问题 填空题
|
a
|
=3,|
b
|
=4,|
c
|
=1,
a
+
b
+
c
=
0
,则
a
b
=______.
答案

因为|

a
|=3,|
b
|
=4,|
c
|
=1,
a
+
b
+
c
=
0

所以

a
+
b
=-
c
,有|
c
|2 = (
a
+
b
)•(
a
+
b
)

=|

a
|2+2
a
b
+|
b
|
2=9+16+2
a
b
=1

a
b
=-12.

故答案为:-12.

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