How to approach to its answer...
 

Asked by nitishkrnehu09 | 23rd Nov, 2017, 09:48: AM

Expert Answer:

begin mathsize 16px style Let space straight G space be space the space centroid space and space straight H space be space the space orthocentre.
Let space position space vectors space of space straight A comma straight B comma straight C comma straight H space and space straight G space are space straight a with rightwards harpoon with barb upwards on top comma straight b with rightwards harpoon with barb upwards on top comma straight c with rightwards harpoon with barb upwards on top comma straight h with rightwards harpoon with barb upwards on top space and space straight g with rightwards harpoon with barb upwards on top space respectively.
straight g with rightwards harpoon with barb upwards on top equals fraction numerator straight a with rightwards harpoon with barb upwards on top plus straight b with rightwards harpoon with barb upwards on top plus straight c with rightwards harpoon with barb upwards on top over denominator 3 end fraction equals fraction numerator 2 straight O with rightwards harpoon with barb upwards on top plus straight h with rightwards harpoon with barb upwards on top over denominator 3 end fraction
3 straight g with rightwards harpoon with barb upwards on top equals 2 straight O with rightwards harpoon with barb upwards on top plus straight h with rightwards harpoon with barb upwards on top
Put space it space in space the stack space HA with rightwards harpoon with barb upwards on top plus HB with rightwards harpoon with barb upwards on top plus HC with rightwards harpoon with barb upwards on top space using space position space vectors
you space will space get space the space answer space 2 HO with rightwards harpoon with barb upwards on top. end style

Answered by Sneha shidid | 29th Nov, 2017, 11:30: AM