1.

If \[\mathbf{a}=4\mathbf{i}+6\mathbf{j}\] and \[\mathbf{b}=3\,\mathbf{j}+4\,\mathbf{k},\] then the component of a along b is [IIT Screening 1989; MNR 1983, 87; UPSEAT 2000]

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. \[(3\mathbf{j}+4\mathbf{k})\]
Answer» C. \[\frac{18}{\sqrt{3}}(3\mathbf{j}+4\mathbf{k})\]


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