हिंदी

The unit vector perpendicular to the vectors iji^-j^ and iji^+j^ forming a right handed system is ______. - Mathematics

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प्रश्न

The unit vector perpendicular to the vectors `hat"i" - hat"j"` and `hat"i" + hat"j"` forming a right handed system is ______.

विकल्प

  • `hat"k"`

  • `-hat"k"`

  • `(hat"i" - hat"j")/sqrt(2)`

  • `(hat"i" + hat"j")/sqrt(2)`

MCQ
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उत्तर

The unit vector perpendicular to the vectors `hat"i" - hat"j"` and `hat"i" + hat"j"` forming a right handed system is `hat"k"`.

Explanation:

Required unit vector is `((hat"i" - hat"j") xx (hat"i" + hat"j"))/|(hat"i" - hat"j") xx (hat"i" + hat"j")| = (2hat"k")/2` 

= `hat"k"`.

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अध्याय 10: Vector Algebra - Solved Examples [पृष्ठ २१४]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
अध्याय 10 Vector Algebra
Solved Examples | Q 20 | पृष्ठ २१४
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