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Let ABC be a triangle whose centroid is G, orhtocentre is H and circumcentre is the origin 'O'. If D is any point in the plane of the triangle such that no three of O, A, C and D are collinear satisfying the relation vec(AD) + vec(BD) + vec(CH ) + 3 vec(HG)= lamda vec(HD), then what is the value of the scalar 'lamda'? |
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Answer» `"" = 2 vecd - ( veca + vecb + vecc) + 3 (( veca + vecb + vecc))/(3) - 2 vech` `"" =2 vecd - 2 vech = 2(vecd - vech) =2 VEC(HD)` `RARR lamda =2 ` |
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