Let a line pass through two distinct points \(P(-2,-1,3)\) and Q, and be parallel to the vector \(3\overset{^}{i}+2\overset{^}{j}+2\overset{^}{k}\). If the distance of the point Q from the point \(R(1,3,3)\) is 5 , then the square of the area of \(\triangle \mathrm{PQR}\) is equal to:

[JEE Main 2025, 22 Jan (Shift 2)]

Question

Let a line pass through two distinct points \(P(-2,-1,3)\) and Q, and be parallel to the vector \(3\overset{^}{i}+2\overset{^}{j}+2\overset{^}{k}\). If the distance of the point Q from the point \(R(1,3,3)\) is 5 , then the square of the area of \(\triangle \mathrm{PQR}\) is equal to:

[JEE Main 2025, 22 Jan (Shift 2)]

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