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Q18   If \vec a  is a nonzero vector of magnitude ‘a’ and  \lambda  a nonzero scalar, then \lambda \vec a is unit vector if 

          \\A ) \lambda = 1 \\\\ B ) \lambda = -1 \\\\ C ) a = |\lambda | \\\\ D ) a = 1 / |\lambda |

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Given \vec a  is a nonzero vector of magnitude ‘a’ and  \lambda  a nonzero scalar

\lambda \vec a is a unit vector when

 |\lambda \vec a|=1

|\lambda|| \vec a|=1

| \vec a|=\frac{1}{|\lambda|}

Hence the correct option is D.

Posted by

Pankaj Sanodiya

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