Teaching DSSSB TGT Mock Test 2025 Mathematics Vector Algebra

What is the length of projection of the vector \(\rm \hat{i}+2 \hat{j}+3 \hat{k}\) on the vector \(\rm2 \hat{i}+3 \hat{j}-2 \hat{k}\) ?

1
\(\frac{1}{\sqrt{17}}\)
2
\(\frac{2}{\sqrt{17}}\)
3
\(\frac{3}{\sqrt{17}}\)
4
\(\frac{2}{\sqrt{14}}\)
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