The position vector of the co-ordinates \(\log_{10}1,\log_{10}10,\log_{10}100\) with respect to the origin will be
Answer & explanation
Correct answer: option 4
\(\begin{aligned}\text{The position vector for coordinates } &(x,y,z)\text{ is } x\hat{i} + y\hat{j} + z\hat{k}.\text{ So, required position vector is }\\
&\log_{10}1\hat{i}+\log_{10}10\hat{j}+\log_{10}100\hat{k}\\ &0+\hat{j}+2\log_{10}10\hat{k}\\ &\hat{j}+2\hat{k}\end{aligned}\)