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

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