问题
填空题
已知
|
答案
∵
=2,|a|
=6,|b|
•(a
-b
)=2,a
∴
•(a
-b
)=a
•a
-b
2=a
•a
-2=2,∴b
•a
=6,b
∴|
-λa
|=b
=(
-λa
)2b
=
2-2λa
•a
+λ2b
2b
=4-12λ+36λ2 (6λ-1)2+3
∵(6λ-1)2≥0,
≥(6λ-1)2+3 3
∴|
-λa
|的最小值为b 3
故答案为3