Question bank/JEE Main/Mathematics

Let [IMAGE] and
$\overrightarrow{b} = \imath + 2j + k$be two vectors. Consider a vector
[IMAGE] R. If the projection of [IMAGE] on
the vector [IMAGE] is [IMAGE], then the
minimum value of [IMAGE] equal to

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[IMAGE] $= 6\left( \alpha^{2} - 2\alpha + 4 \right) =$ min value 18

Source: Grass-G / M-22 Mathematics Paper 19 Dec Eng.docx