Teaching UP TGT Mock Test Series 2025 Mathematics Vector Algebra Scalar and Vector Product

Find the projection of the vector \(\vec a = 2\hat i + 3\hat j + 2\hat k\) on the vector \(\vec b = \vec i + 2\vec j + \hat k\) ?

1
\(\frac{2\sqrt6}{3}\)
2
\(\frac{4\sqrt6}{3}\)
3
\(\frac{5\sqrt6}{3}\)
4
None of these
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