Teaching HTET PGT Level 3 - 2024 Mock Test Mathematics Vector Algebra Scalar and Vector Product

What is the scalar projection of \(\vec{a}=\hat{i}-2\hat{j}+\hat{k}\) on \(\vec{b}=4\hat{i}-4\hat{j}+7\hat{k}~?\)

1
\(\frac{\sqrt{6}}{9}\)
2
19/9
3
9/19
4
\(\frac{\sqrt{6}}{19}\)
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