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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class12  >>  Vector Algebra
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$(\hat i\:\hat j\:\hat k)+(\hat j\:\hat k\: \hat i)+(\hat k\:\hat j\:\hat i)=?$

$\begin{array}{1 1} -1 \\ 0 \\ 1 \\ 3 \end{array} $

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  • $(\hat i\:\hat j\:\hat k)=\hat i.(\hat j\times\hat k)=1$
  • $(\hat k\:\hat j\:\hat i)=\hat k.(\hat j\times\hat i)=-1$
$(\hat i\:\hat j\:\hat k)=(\hat j\:\hat k\:\hat i)=(\hat k\:\hat i\:\hat j)=1$
$(\hat i\:\hat k\:\hat j)=(\hat j\:\hat i\:\hat k)=(\hat k\:\hat j\:\hat i)=-1$
$\therefore\:(\hat i\:\hat j\:\hat k)+(\hat j\:\hat k\:\hat i)+(\hat k\:\hat j\:\hat i)=1+1-1=1$
answered Oct 28, 2013 by rvidyagovindarajan_1

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