It is given three vector p,q and r. Show that p ．(q x r)= (p x q) ．(2p - 3q +r)
please show the steps. thx~
一題好easy既vector
2011-10-16 12:52 am
回答 (1)
2011-10-16 2:47 am
✔ 最佳答案
Note (p×q) is penpendicular to both p and qSo (p×q)∙p=0 and (p×q)∙q=0Hence RHS=(p×q)∙(2p-3q+r)=2(p×q)∙p-3(p×q)∙q+(p×q)∙r=(p×q)∙r=r∙(p×q)=p∙(q×r)=LHS
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