If a,b,c are vectors such that a.b=a.c, axb=axc, a not equal to 0, then show that b=c.

Asked by sunil2791 | 17th Nov, 2017, 07:08: PM

Expert Answer:

begin mathsize 16px style straight a. straight b equals straight a. straight c
straight a. straight b minus straight a. straight c equals 0
straight a. open parentheses straight b minus straight c close parentheses equals 0
open vertical bar straight a close vertical bar. open vertical bar straight b minus straight c close vertical bar cos space straight theta equals 0
open vertical bar straight a close vertical bar not equal to 0 space also space cos space straight theta space not equal to 0..... straight a. straight b equals straight a. straight c not equal to 0
open vertical bar straight b minus straight c close vertical bar equals 0
straight b equals straight c end style

Answered by Arun | 5th Dec, 2017, 03:57: PM