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Question

a2b+3c;2a+3b & 7b+10cz Show that the points are notcolinear.

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Solution

Given,OA=¯¯¯a2¯¯b+3¯¯cOB=¯¯¯¯¯¯2a+3¯¯bOC=7¯¯b+10¯¯cAB=OBOA=(¯¯¯¯¯¯2a+3¯¯b)(¯¯¯a2¯¯b+3¯¯c)=¯¯¯a+5¯¯b3¯¯cAC=OCOA=(7¯¯b+10¯¯c)(¯¯¯a2¯¯b+3¯¯c)=5¯¯b+10¯¯c¯¯¯a+2¯¯b3¯¯c=¯¯¯a5¯¯b+7¯¯cthereexistsno.λ,suchthatAB=ACpointsarenotcollinear












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