1.

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)`

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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