问题 解答题
已知|
a
|=4,|
b
|=5,|
a
+
b
|=
21
.求
(1)
a
b

(2)(2
a
-
b
)•(
a
+3
b
)
..
答案

(1)将|

a
+
b
|=
21
两边平方得:|
a
|2+|
b
|2+2
a
b
=21

|

a
|=4,|
b
|=5,∴
a
b
=-10

(2)(2

a
-
b
)•(
a
+3
b
)=2|
a
|2-3|
b
|2+5
a
b
=-93.

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