If a x b = b x c ≠ 0, then show that a + c =kb where k is a scalar.

Asked by sunil2791 | 17th Nov, 2017, 07:12: PM

Expert Answer:

begin mathsize 16px style straight a cross times straight b equals straight b cross times straight c straight a cross times straight b minus straight b cross times straight c equals 0 straight a cross times straight b minus straight c cross times straight b equals 0 open parentheses straight a minus straight c close parentheses cross times straight b equals 0 this space means space vectors space left parenthesis straight a minus straight c right parenthesis space and space straight b space are space parallel so space they space lie space in space same space plane so space straight a space vector space can space be space represented space in space scalar space multiple space of space other left parenthesis straight a minus straight c right parenthesis space equals straight k space straight b end style

Answered by Arun | 5th Dec, 2017, 03:55: PM

Ask Doubt

Queries asked on Sunday & after 7pm from Monday to Saturday will be answered after 12pm the next working day.