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CBSE Class 12-science Answered

Show that the points having position vector a , b , ( c = 3 a – 2b) are collinear whatever a b and c

a , b and c are vector     explain in great detail

Asked by haroonrashidgkp | 02 Nov, 2018, 09:27: PM
Expert Answer
begin mathsize 16px style Let space straight A comma space straight B space and space straight C space are space the space points space whose space position space vectors space are space straight a with bar on top comma space straight b with bar on top and space stack straight c. with bar on top
AB with bar on top equals stack straight b space with bar on top space minus space space straight a with bar on top
AC with bar on top equals 3 straight a with bar on top space minus space 2 straight b with bar on top space minus straight a with bar on top
AC with bar on top equals 2 straight a with bar on top space minus space 2 straight b with bar on top
AC with bar on top equals negative 2 open parentheses straight b with bar on top space minus straight a with bar on top close parentheses
AC with bar on top equals negative 2 AB with bar on top
Hence comma space straight a with bar on top comma space straight b with bar on top space and space space stack straight c space with bar on top space are space collinear. end style
Answered by Sneha shidid | 13 Nov, 2018, 09:09: AM
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