A) \[\frac{5\sqrt{6}}{10}\]
B) \[\frac{19}{9}\]
C) \[\frac{9}{19}\]
D) \[\frac{\sqrt{6}}{19}\]
Correct Answer: B
Solution :
Projection of a on b \[=\,|\mathbf{a}|\,\cos \theta =|\mathbf{a}|\frac{\mathbf{a}\,\mathbf{.}\,\mathbf{b}}{|\mathbf{a}||\mathbf{b}|}=\frac{\mathbf{a}\,\mathbf{.}\,\mathbf{b}}{|\mathbf{b}|}\] \[=\frac{4+8+7}{\sqrt{16+16+49}}=\frac{19}{\sqrt{81}}=\frac{19}{9}.\]
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