问题 填空题
(
a
+3
b
)⊥
(7
a
-5
b
)
,且(
a
-4
b
)⊥
(7
a
-5
b
)
,则
a
b
的夹角为______.
答案

7

a
2+16
a
b
-15
b
2
=0,7
a
2
-33
a
b
+20
b
2
=0,得49
a
b
=35
b
2
,49
a
2
=35
a
b

a
b
=
35
49
b
2
|
a
|
|
b
|
=
35
49
,cos<
a
b
>=
a
b
|
a
||
b
|
=
35
49
b
2
|
a
||
b
|
=
35
49
|
b
|
|
a
|
=1

a
b
>=0

故答案为:0

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