阿摩線上測驗
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阿摩線上測驗
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10. The following figure shows a square based pyramid with vetices at O(0, 0, 0),
A(1, 0, 0), B(1, 1, 0), C(0, 1, 0) and D(0, 0, 1).
The plane Π2 , passes through O and is normal to the line BD.(c) Find the Cartesian equation of Π2 . [2 分]
BD向量為(-1,-1,1)
normal to the line BD故以BD向量為Π2法向量
得Π2平面方程式:-x-y+z=k
帶入O點(0,0,0)解k得k=0
Π2: x+y-z=0 (也可寫作-x-y+z=0)