设向量ab满足lal=lbl=1l3a-2bl=3求l3a=bl=?

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设向量ab满足lal=lbl=1l3a-2bl=3求l3a=bl=?

设向量ab满足lal=lbl=1l3a-2bl=3求l3a=bl=?
设向量ab满足lal=lbl=1l3a-2bl=3求l3a=bl=?

设向量ab满足lal=lbl=1l3a-2bl=3求l3a=bl=?
求|3a+b|吧?
|3a-2b|²
=(3a-2b)²
=9a²-12ab+4b²
=9|a|²-12ab+4|b|²=3
于是9-12ab+4=3
得ab=5/6
|3a+b|²
=9a²+6ab+b²
=9|a|²+6ab+|b|²
=9+5+1=15
于是|3a+b|=√15

|3a-2b|²
=(3a-2b)²
=9a²-12ab+4b²
=9|a|²-12ab+4|b|²=3
于是9-12ab+4=3
得ab=5/6
|3a-b|²
=9a²-6ab+b²
=9|a|²-6ab+|b|²

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|3a-2b|²
=(3a-2b)²
=9a²-12ab+4b²
=9|a|²-12ab+4|b|²=3
于是9-12ab+4=3
得ab=5/6
|3a-b|²
=9a²-6ab+b²
=9|a|²-6ab+|b|²
=9-5+1=5于
是|3a-b|=√5
如果是求|3a+b|那么
|3a+b|²
=9a²+6ab+b²
=9|a|²+6ab+|b|²
=9+5+1=15
于是|3a+b|=√15

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