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Find the value of ‘p’ for which the vectors  \(3\hat i+2\hat j+9\hat k\)  and  \(\hat i-2p\hat j+3\hat k\) are  parallel.

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Two vectors  \(\vec a=a_1\hat i+a_2\hat j+a_3\hat k\) and  \(\vec b=b_1\hat i+b_2\hat j+b_3\hat k\) are parallel, if and only if,

Here

Solving this equality, we get

\(p=-\cfrac13\)

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