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Let vec a = 2hati - hatj + 2hatk and vec...

Let `vec a = 2hati - hatj + 2hatk and vecb = hati + 2hatj - hatk`. Let a vector `vecv` be in the plane containing `veca and vec b.` If `vec v` is perpendicular to the vector `3 hati + 2hatj - hatk` and its projection on `vec a` is 19 units, then `abs(2vec v)^2` is equal to _________.

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JEE MAINS PREVIOUS YEAR-JEE MAINS 2021-Mathematics Section B
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