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यदि `overset(rightarrow)(alpha)` and `overset(rightarrow)(gamma)` दोनों के अनुलम्ब `overset(rightarrow)(beta)` हो, जहाँ `overset(rightarrow)(alpha)=hatk` और `overset(rightarrow)(gamma)=2hati+3hatj+4hatk` है तो `overset(rightarrow)(beta)` किसके बराबर हैA. `(3hati+2hatj)`B. `(-3hati+2hatj)`C. `(2hati-3hatj)`D. `(-2hati+3hatj)` |
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Answer» Correct Answer - B दिया है `vecalpha=veck " तथा "vecgamma=2hati+3hatj+4hatk` `therefore vecalpha "तथा "vecgamma vecgamma` पर लम्ब सदिश `vecgamma vecbeta` है अर्थार्त `vecbeta=(vecalphaxxvecgamma)=|{:(,hati,hatj,hatk),(,0,0,1),(,2,3,4):}|` `=hati(0-3)-hatj(0-2)+hatk(0-0)` `=(-3hati+2hatj)` |
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