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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class12  >>  Vector Algebra
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If $|\overrightarrow a|=2,\:|\overrightarrow b|= 3$ and $\overrightarrow a.\overrightarrow b=4$, then $|\overrightarrow a-\overrightarrow b|$=?

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  • $|\overrightarrow a-\overrightarrow b|^2=|\overrightarrow a|^2+|\overrightarrow b|^2-2\overrightarrow a.\overrightarrow b$
$|\overrightarrow a-\overrightarrow b|^2=|\overrightarrow a|^2+|\overrightarrow b|^2-2\overrightarrow a.\overrightarrow b$
$\Rightarrow\:|\overrightarrow a-\overrightarrow b|^2=4+9-8=5$
$|\overrightarrow a-\overrightarrow b|=\sqrt 5$
answered Oct 28, 2013 by rvidyagovindarajan_1
 

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