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If the vectors vecP = a hati + a ha...

If the vectors ` vecP = a hati + a hatj + 3 hatk and vecQ = a hati - 2 hatj - hatk ` are perpendicular to each other . Find the value of a ?

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If vectors ` vecP and vecQ ` are perpendicular
`implies vecP . vecQ implies ( a hati + a hat j + 3hatk) .( a hati - 2 hatj - hatk )=0`
` implies a^2 - 2 a -3=0implies a^2 -3a + a -3=0 implies a (a-3) +1 (a -3) =0 implies a=-1,3`
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