[理工] [工數]向量切面

看板Grad-ProbAsk作者 (ㄎㄎㄎ)時間14年前 (2012/02/18 20:13), 編輯推噓2(2推 0噓 4→)
留言6則, 3人參與, 最新討論串1/1
The surface of an ellipsoid is defined as f(x,y,z)=x^2+2y^2+4z^2+xy+3yz-1=0 please find the tangent plane(s) in parallel with X-Z plane -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 220.135.49.200
推
02/18 20:23, , 1F
先轉主軸
02/18 20:23, 1F
推
02/18 20:51, , 2F
X-Z平面代表法向量為 j
02/18 20:51, 2F
→
02/18 20:56, , 3F
而 ▽f = ... i 方向等於零 , k 方向等於零 得 (x,y,z)
02/18 20:56, 3F
→
02/18 20:57, , 4F
然後帶入點就有解囉
02/18 20:57, 4F
→
02/18 21:10, , 5F
感恩!!
02/18 21:10, 5F
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02/18 22:11, , 6F
看來我用了蠢方法XD
02/18 22:11, 6F
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