题目内容
已知|
|=2,|
|=3,,
与
夹角为600,
=5
+3
,
=3
+k
,则当实数k为何值是?
(1)
∥
(2)
⊥
.
| a |
| b |
| a |
| b |
| c |
| a |
| b |
| d |
| a |
| b |
(1)
| c |
| d |
(2)
| c |
| d |
由题意得
•
=|
||
|cos600=2×3×
=3
(1)当
∥
,
=λ
,则5
+3
=λ(3
+k
)∴3λ=5,且kλ=3∴k=
.
(2)当
⊥
,
•
=0,则(5
+3
)•(3
+k
)=0,∴15
2+3k
2+(9+5k)
•
=0,∴k=-
.
| a |
| b |
| a |
| b |
| 1 |
| 2 |
(1)当
| c |
| d |
| c |
| d |
| a |
| b |
| a |
| b |
| 9 |
| 5 |
(2)当
| c |
| d |
| c |
| d |
| a |
| b |
| a |
| b |
| a |
| b |
| a |
| b |
| 29 |
| 14 |
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