# A person A is moving along east and B is moving along north. Then relative velocity of A with respect to B is

$\underset{V_{BA}}{\rightarrow}$  =  $\underset{V_{B}}{\rightarrow}$  - $\underset{V_{A}}{\rightarrow}$  $=10\sqrt{3}\; \hat{j}-10\, \hat{l}$

$\left | \underset{V_{BA}}{\rightarrow} \right |$   =  $\sqrt{100+300}=20\, m/s$

$\tan \theta =\frac{-V_{B}}{V_{A}}=\frac{-10\sqrt{3}}{10}=-\sqrt{3}$

$\theta =120^{\circ}\; \; from\; \; east$

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