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Hindi
3-1.Vectors
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ક્યાં સદિશને પરિણામી સદિશ $\mathop P\limits^ \to \,\, = \,\,2\hat i\,\, + \;\,7\hat j\,\, - \,\,10\hat k\,\,$ અને $\,\,\mathop Q\limits^ \to \,\, = \,\,\hat i\,\, + \;\,2\hat j\,\, + \;\,3\hat k$ માં ઉમેરવામાં આવે તો તે $X$- અક્ષની દિશામાં એકમ સદિશ આપે.

A

$ - 2\hat i\,\, - \,\,9\hat j\,\, + \,\,7\hat k$

B

$2\hat i\,\, + \;\,7\hat j\,\, - \,\,10\hat k$

C

$\hat i\,\, + \;\,2\hat j\,\, + \;\,3\hat k$

D

$2\hat i\,\, + \;\,9\hat j\,\, + \;\,7\hat k$

Solution

પરિણામી સદીશ $\mathop {\text{R}}\limits^ \to  \,\, = \,\,\mathop P\limits^ \to  \,\, + \;\,\mathop Q\limits^ \to  \,\, = \,\,\left( {2\hat i\,\, + \;\;7\hat j\,\, – \,\,10\hat k} \right)\,\,\, + \;\,\left( {\hat i\,\, + \;\,2\hat j\,\, + \,\,3\hat k} \right)$

$ = \,\,3\hat i\,\, + \;\,9\hat j\,\, – \,\,7\hat k$

પણ $\mathop R\limits^ \to  \,\, + $ જરૂરી સદીશ $ = \,\,\hat i$ 

અથવા જરૂરી સદીશ $ = \,\,\hat i\,\, – \,\,\mathop R\limits^ \to  \,\, = \,\,\hat i\,\, – \,\,\left( {3\hat i\,\, + \;\,9\hat j\,\, – \,\,7\hat k} \right)\,\,$ =

$\,\, – 2\hat i\,\, – \,\,9\hat j\,\, + \,\,7\hat k$

Standard 11
Physics

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