Physics - Vectors Question with Solution | TestHub

Displacement vectors for each leg:

${\vec{s}}_1=4\sqrt{2}\text{m South-West}=-4\hat{i}-4\hat{j}$

${\vec{s}}_2=12\text{m upward}=12\hat{k},{\vec{s}}_3=1\text{m East}=1\hat{i}$

$\vec{s}={\vec{s}}_1+{\vec{s}}_2+{\vec{s}}_3=-3\hat{i}-4\hat{j}+12\hat{k}$

$|\vec{s}|=\sqrt{3^2+4^2+12^2}=\sqrt{169}=13\text{m}$

Hence option (A).