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Let a line l pass through the origin and...

Let a line `l` pass through the origin and be perpendicular to the lines
`l_1:vecr=(hati-11hatj-7hatk)+lamda(hati + 2hatj +3hatk) , lamda in RR` and
`l_2:vecr=(-hati+hatk)+mu(2hati + 2hatj +hatk) , mu in RR`
If P is the point of intersection of `l` and `l_1`, and `Q (alpha, beta, gamma)` is the foot of perpendicular from `P` on `l_2`, then `9(alpha+ beta+ gamma)` is equal to ______

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
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