问题
解答题
已知|
|
答案
(
+a
)•(b
-a
)=b
2-a
2=-3-----------------------------------------------(2分)b
|
+a
|2=b
2+a
2+2b
•a
=7------------------------------------------------------(3分)b
|
-a
|2=b
2+a
2-2b
•a
=3-------------------------------------------------------(3分)b
设(
+a
)与(b
-a
)夹角为θb
,所以cosθ=
---------------------(3分)(
+a
)•(b
-a
)b |
+a
||b
-a
|b
所以(
+a
)与(b
-a
)夹角余弦值为-b
-------------------(1分)21 7