A, B, C are three points in the Argand diagram representing the complex numbers z1, z2, z3 respectively. If z1=0, z2= 1+i and triangle ABC is equilateral, find z3
Answer: since triangle ABC is equilateral and z1=0
thus, z3=z2(cos60 加減 isin60)
我不明白為何這樣計
Complex Numbers-10 分
2008-01-12 2:52 am
回答 (1)
2008-01-12 3:09 am
✔ 最佳答案
因為ABC是equilateral﹐角BAC=60所以將z2順時針或逆時針60度就得到z3﹐而根據複數乘法的幾何意義可得
參考http://www.suitcaseofdreams.net/Geometric_multiplication.htm
z3=z2(cos60 + isin60)
或z3=z2(cos-60 + isin-60)=z2(cos60 - isin60)
收錄日期: 2021-04-28 14:18:09
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20080111000051KK02849