设向量a,b满足:丨a丨=1,a*b=3/2,丨a+b丨=2根号2,则丨b丨=多少 求过程!
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设向量a,b满足:丨a丨=1,a*b=3/2,丨a+b丨=2根号2,则丨b丨=多少 求过程!
![设向量a,b满足:丨a丨=1,a*b=3/2,丨a+b丨=2根号2,则丨b丨=多少 求过程!](/uploads/image/z/1363970-2-0.jpg?t=%E8%AE%BE%E5%90%91%E9%87%8Fa%2Cb%E6%BB%A1%E8%B6%B3%EF%BC%9A%E4%B8%A8a%E4%B8%A8%3D1%2Ca%2Ab%3D3%2F2%2C%E4%B8%A8a%2Bb%E4%B8%A8%3D2%E6%A0%B9%E5%8F%B72%2C%E5%88%99%E4%B8%A8b%E4%B8%A8%3D%E5%A4%9A%E5%B0%91+%E6%B1%82%E8%BF%87%E7%A8%8B%21)
因为丨a+b丨=2根号2
(a+b)^2=8
b^2=8-a^2-2ab=8-1-2*3/2=4
所以丨b丨=2
(a+b)^2=8
b^2=8-a^2-2ab=8-1-2*3/2=4
所以丨b丨=2
设向量a,b满足:丨a丨=1,a*b=3/2,丨a+b丨=2根号2,则丨b丨=多少 求过程!
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