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Find the value of 'P' for which the vectors $ 3 \hat i + 2 \hat j + 2 \hat k$ and $ \hat i - 2P \hat j + 3 \hat k $ are parallel.

$(a)\; \large\frac{1}{4} \qquad(b)\;- \large\frac{1}{5}\qquad(c)\;-\large\frac{1}{3}\qquad(d)\;\large\frac{1}{7}$

1 Answer

Let $ \overrightarrow a = 3 \hat i + 2 \hat j + 9 \hat k$
$ \overrightarrow a$ is parallel to $ \hat i - 2p\hat j + 3 \hat k$
$ \therefore \large\frac{1}{3}$$ = \large\frac{-2p}{p}$$ = \large\frac{3}{9}$
$ \Rightarrow \large\frac{1}{3}$$ = -p \: or \: p = -\large\frac{1}{3}$
answered Apr 14, 2014 by thanvigandhi_1
 

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