求解,两题,写上序号,谢谢大佬
1个回答
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a=(3,-4), b=(2,x), c=(2,y)
a//b, a.c=0
(1)
a//b
3/2= -4/x
3x=-8
x=-8/3
a.c=0
(3,-4).(2,y) =0
6-4y=0
y = 3/2
b=(2,-8/3), c=(2, 3/2)
(2)
b,c的夹角=x
|b|=√( 4 + 64/9) = 10/3
|c| =√( 4 + 9/4) = 5/2
b.c=|b||c|cosx
(2,-8/3).(2, 3/2) =(10/3)(5/2)cosx
4-4 =(10/3)(5/2)cosx
cosx =0
x=π/2
a//b, a.c=0
(1)
a//b
3/2= -4/x
3x=-8
x=-8/3
a.c=0
(3,-4).(2,y) =0
6-4y=0
y = 3/2
b=(2,-8/3), c=(2, 3/2)
(2)
b,c的夹角=x
|b|=√( 4 + 64/9) = 10/3
|c| =√( 4 + 9/4) = 5/2
b.c=|b||c|cosx
(2,-8/3).(2, 3/2) =(10/3)(5/2)cosx
4-4 =(10/3)(5/2)cosx
cosx =0
x=π/2
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