问题
选择题
已知|
|
答案
∵|
|=3,|a
|=2,b
与a
的夹角为60°b
∴|
|2=9,|a
|2=4,b
•a
=3b
则(3
+5a
)•(mb
-a
)b
=3m|
|2-5|a
|2+(5m-3)b
•a b
=27m-20+3(5m-3)
=42m-29
又∵(3
+5a
)⊥(mb
-a
),b
∴42m-29=0
∴m=29 42
故选C
已知|
|
∵|
|=3,|a
|=2,b
与a
的夹角为60°b
∴|
|2=9,|a
|2=4,b
•a
=3b
则(3
+5a
)•(mb
-a
)b
=3m|
|2-5|a
|2+(5m-3)b
•a b
=27m-20+3(5m-3)
=42m-29
又∵(3
+5a
)⊥(mb
-a
),b
∴42m-29=0
∴m=29 42
故选C