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5. 給定向量  ,請選出正確的選項:


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 【站僕】摩檸Morning:有沒有達人來解釋一下?
倒數 3天 ,已有 1 則答案
陳俊友 大二上 (2019/05/18):

(A)選(0,0,5cdf5ce6e8d70.jpg#s-39,40)

(B)因為(1,3,4)和(2,2,1)不垂直,所以找不到5cdf5d3675c38.jpg#s-16,26

(C)利用5cdf5d524c135.jpg#s-130,43可以知道cosθ=5cdf5d7c87d1a.jpg#s-21,58,所以sinθ=5cdf5dfb8ec05.jpg#s-42,69

|5cdf5d9ad3337.jpg#s-59,45|=|5cdf5db837148.jpg#s-20,39%23s-20,39%23s-20,39%23s-20,39||5cdf5dc85640b.jpg#s-24,32%23s-24,32%23s-24,32%23s-24,32%23s-24,32%23s-24,32%23s-24,32|sinθ≠0,即5cdf5e1a8893a.jpg#s-56,395cdf5e2964d84.jpg#s-20,34

(D)5cdf5e43604de.jpg#s-89,40%23s-89,40|5cdf5db837148.jpg#s-20,39%23s-20,39%23s-20,39%23s-20,39||5cdf5dc85640b.jpg#s-24,32%23s-24,32%23s-24,32%23s-24,32%23s-24,32%23s-24,32%23s-24,32|sinθ=35cdf5e654e27f.jpg#s-35,37sinθ=35cdf5e7374283.jpg#s-35,37,所以sinθ=1

又0°≦θ≦180°,所以θ=90°,內積5cdf5ee49487f.jpg#s-77,38

(E)5cdf5e43604de.jpg#s-89,40%23s-89,40|5cdf5db837148.jpg#s-20,39%23s-20,39%23s-20,39%23s-20,39||5cdf5dc85640b.jpg#s-24,32%23s-24,32%23s-24,32%23s-24,32%23s-24,32%23s-24,32%23s-24,32|sinθ=3|5cdf5dc85640b.jpg#s-24,32%23s-24,32%23s-24,32%23s-24,32%23s-24,32%23s-24,32%23s-24,32|sinθ=0

    5cdf5f1602816.jpg#s-60,33|5cdf5db837148.jpg#s-20,39%23s-20,39%23s-20,39%23s-20,39||5cdf5dc85640b.jpg#s-24,32%23s-24,32%23s-24,32%23s-24,32%23s-24,32%23s-24,32%23s-24,32|cosθ=3|5cdf5dc85640b.jpg#s-24,32%23s-24,32%23s-24,32%23s-24,32%23s-24,32%23s-24,32%23s-24,32|cosθ=0

     又sin2θ+cos2θ=1→sinθ和cosθ不同時為0

     所以|5cdf5dc85640b.jpg#s-24,32%23s-24,32%23s-24,32%23s-24,32%23s-24,32%23s-24,32%23s-24,32|=0,即5cdf5fa5ca29a.jpg#s-63,26

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5. 給定向量  ,請選出正確的選項: -阿摩線上測驗