Junior Class 1 Answered

Find the projection vector and projection of the vector on the vector .

Asked by Aswin | 04 Jan, 2016, 06:21: PM

Expert Answer

Hi, $Vector space projection space of space straight a with rightwards harpoon with barb upwards on top space on space straight b with rightwards harpoon with barb upwards on top space is space given space by space equals space fraction numerator space straight a with rightwards harpoon with barb upwards on top times straight b with rightwards harpoon with barb upwards on top space over denominator open vertical bar straight b with rightwards harpoon with barb upwards on top close vertical bar squared end fraction straight b with rightwards harpoon with barb upwards on top Vector space projection space of space 7 straight i with overparenthesis on top plus straight j with overparenthesis on top minus 4 straight k with overparenthesis on top space on space the space vector space 2 straight i with overparenthesis on top plus 6 straight j with overparenthesis on top plus 3 straight k with overparenthesis on top space equals fraction numerator 7 left parenthesis 2 right parenthesis plus 1 left parenthesis 6 right parenthesis minus 4 left parenthesis 3 right parenthesis over denominator open parentheses 2 close parentheses squared plus open parentheses 6 close parentheses squared plus open parentheses 3 close parentheses squared end fraction open parentheses 2 comma 6 comma 3 close parentheses equals 8 over 49 open parentheses 2 comma 6 comma 3 close parentheses space$