A) \[\frac{5\sqrt{6}}{10}\]
B) \[\frac{19}{9}\]
C) \[\frac{9}{19}\]
D) \[\frac{\sqrt{6}}{19}\]
Correct Answer: B
Solution :
Let \[a=i-2j+k\]and \[b=4i-4j+7k,\]then projection of a on b is equal to \[\frac{a\cdot b}{\left| \,b\, \right|}=\frac{4+8+7}{\sqrt{16+16+49}}=\frac{19}{9}\]
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