A) \[\frac{18}{10\sqrt{3}}(3\mathbf{j}+4\mathbf{k})\]
B) \[\frac{18}{25}(3\mathbf{j}+4\mathbf{k})\]
C) \[\frac{18}{\sqrt{3}}(3\mathbf{j}+4\mathbf{k})\]
D) \[(3\mathbf{j}+4\mathbf{k})\]
Correct Answer: B
Solution :
The component of vector \[\mathbf{a}\] along \[\mathbf{b}\] is \[\frac{(\mathbf{a}\,.\,\mathbf{b})\mathbf{b}}{|\mathbf{b}{{|}^{2}}}=\frac{18}{25}(3\mathbf{j}+4\mathbf{k}).\]
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