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The-vectors-OP-OQ-and-OR-represented-by-a-b-and-c-respectively-where-a-10i-j-b-2i-7j-c-a-3b-and-O-is-the-origin-OR-and-PR-intersects-at-M-where-OM-kOR-and-PM-lPQ-and-k-l-are-constants-Find-




Question Number 224615 by necx122 last updated on 21/Sep/25
The vectors OP, OQ and OR represented  by a,b and c respectively: where a=10i+j,  b=−2i+7j, c=a+3b, and O is the origin.  OR and PR intersects at M where  OM=kOR and PM=lPQ and k, l are  constants. Find:  (i) The equation of the lines of PQ and  OR  (ii) The coordinayes of the point M  (iii)The values of the constants k and l
$${The}\:{vectors}\:{OP},\:{OQ}\:{and}\:{OR}\:{represented} \\ $$$${by}\:{a},{b}\:{and}\:{c}\:{respectively}:\:{where}\:{a}=\mathrm{10}{i}+{j}, \\ $$$${b}=−\mathrm{2}{i}+\mathrm{7}{j},\:{c}={a}+\mathrm{3}{b},\:{and}\:{O}\:{is}\:{the}\:{origin}. \\ $$$${OR}\:{and}\:{PR}\:{intersects}\:{at}\:{M}\:{where} \\ $$$${OM}={kOR}\:{and}\:{PM}={lPQ}\:{and}\:{k},\:{l}\:{are} \\ $$$${constants}.\:{Find}: \\ $$$$\left({i}\right)\:{The}\:{equation}\:{of}\:{the}\:{lines}\:{of}\:{PQ}\:{and} \\ $$$${OR} \\ $$$$\left({ii}\right)\:{The}\:{coordinayes}\:{of}\:{the}\:{point}\:{M} \\ $$$$\left({iii}\right){The}\:{values}\:{of}\:{the}\:{constants}\:{k}\:{and}\:{l} \\ $$$$ \\ $$
Commented by necx122 last updated on 22/Sep/25
Please can I get help for this?
$${Please}\:{can}\:{I}\:{get}\:{help}\:{for}\:{this}? \\ $$

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