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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class12  >>  Vector Algebra
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If $\overrightarrow a=\hat i-\hat j+2\hat k, \:\:\overrightarrow b=2\hat i+4\hat j+\hat k\:\:and\:\:\overrightarrow c=\lambda \hat i+\hat j+\mu k$ are mutually $\perp$ then $(\lambda,\mu)=?$

$\begin{array}{1 1} (-3,2) \\ (2,-3) \\ (-2,3) \\ (3,-2) \end{array} $

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Since $\overrightarrow a,\:\overrightarrow b\:and\:\overrightarrow c$ are mutually $\perp$,
$\overrightarrow a.\overrightarrow b=\overrightarrow b.\overrightarrow c=\overrightarrow c.\overrightarrow a=0$
Solving which we get $\lambda=-3\:\:and\: \mu=2$
answered Nov 5, 2013 by rvidyagovindarajan_1

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