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If vector vecP=a hati + a hatj +3hatk a...

If vector ` vecP=a hati + a hatj +3hatk and vecQ=a hati -2 hatj -hatk ` are perpendicular to each other , then the positive value of a is

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