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\(A\) plane passes through the points \(A(1,2,3), B(2,3,1)\) and \(C(2,4,2)\). If \(O\) is the origin and \(P\) is \((2,…

Q1

\(A\) plane passes through the points \(A(1,2,3), B(2,3,1)\) and \(C(2,4,2)\). If \(O\) is the origin and \(P\) is \((2,-1,1)\), then the projection of \(\overline{ OP }\) on this plane is of length:

[JEE Main 2021, 25 Feb (Shift 2)]

a

\(\sqrt{\frac{2}{5}}\)

b

\(\sqrt{\frac{2}{3}}\)

c

\(\sqrt{\frac{2}{7}}\)

d

\(\sqrt{\frac{2}{11}}\)

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