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सिद्ध कीजिये कि सदिश `hati+hatj-hatk` तथा `3hati-2hatj-hatk` के सिरों को मिलाने वाली रेखा xy- समतल के समान्तर है और इसकी लम्बाई भी ज्ञात कीजिये।

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माना मूलबिन्दु O के सापेक्ष बिन्दुओं A तथा B के स्थिति-सदिश निम्न है-
`vec(OA)=hati+hatj-hatk` तथा `vec(OB)=3hati-2hatj-hatk`
`=vec(AB)=vec(OB)-vec(OA)`
`=(3hati-2hatj-hatk)-(hati+hatj-hatk)`
`=(3hati-hati)+(-2hatj-hatj)+(-hatk+hatk)`
`=2hati-3hatj+0hatk`
`because vec(AB)` सदिश में `vec(k)` का गुणांक शून्य है, अतः रेखा AB, xy-समतल के समान्तर है।
लम्बाई `=|vec(AB)|=sqrt(4+9)=sqrt(13)`

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