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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class12  >>  Vector Algebra
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If the magnitude of the vector $a\hat i+b\hat j+c\hat k$ is $|a|+|b|+|c|$, then $a,b,c$ should be ?

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Given: $ \sqrt {a^2+b^2+c^2}=|a|+|b|+|c|$
$\Rightarrow\:a^2+b^2+c^2=a^2+b^2+c^2+2(|a||b|+|b||c|+|c||a|)$
$\Rightarrow\:|a||b|+|b||c|+|c||a|=0$
This is possible iff $ab=bc=ac=0$
$i.e.,$ if any two of $ a,b,c$ are zero.
answered Nov 19, 2013 by rvidyagovindarajan_1
 

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