问题
填空题
设s、t是两个非零实数,
|
答案
由题意知,|s
+ta
|=|tb
-sa
|,则(sb
+ta
)2=(sb
-ta
)2,b
∴s2
2+2sta
•a
+t2b
=t2b
2-2ta
•a
+s2b
2,b
∵|
|=|a
|=1,∴4stb
•a
=0,即b
•a
=0,∴b
⊥a
.b
故答案为:90°.
设s、t是两个非零实数,
|
由题意知,|s
+ta
|=|tb
-sa
|,则(sb
+ta
)2=(sb
-ta
)2,b
∴s2
2+2sta
•a
+t2b
=t2b
2-2ta
•a
+s2b
2,b
∵|
|=|a
|=1,∴4stb
•a
=0,即b
•a
=0,∴b
⊥a
.b
故答案为:90°.