1.let a=3i-4j+k,b=-6i-6j+2k and c=i+4k
(a) find |a-(c×b)|
(b) find |a×b+b×c|
2.If a+b+c=0,proof that a×b=b×c=c×a
點做
M2 VECTOR
2011-10-17 2:32 am
回答 (1)
2011-10-17 4:59 pm
✔ 最佳答案
1)圖片參考：http://i1191.photobucket.com/albums/z467/robert1973/Oct11/Crazyvec1.jpg
2) Write as:
a = -(b + c)
We have:
b x a = b x -(b + c)
= - b x (b + c)
= - (b x b) - (b x c)
= - (b x c)
So: a x b = b x c
Similarly, write b = - (a + c) and then cross product with c, we have b x c = c x a.
參考: 原創答案
收錄日期: 2021-04-21 14:22:15
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20111016000051KK00906