The first drawing shows three displacement vectors $\overrightarrow{A}$, $\overrightarrow{B}$ and $\overrightarrow{C}$ which are added in a tail-to-head fashion. The resultant vector is labelled $\overrightarrow{R}$. Which of the following drawings shows the correct resultant vector for $\overrightarrow{A}+\overrightarrow{B}-\overrightarrow{C}$?

  

The given figure shows the sum of three displacement vectors, $\overrightarrow{A}$, $\overrightarrow{B}$ and $\overrightarrow{C}$. The resultant vector is $\overrightarrow{R}$. Which of the following figures show the correct resultant vector for $\overrightarrow{A}-\overrightarrow{B}-\overrightarrow{C}$?

A car is being pulled out of the mud by two forces that are applied by the two ropes shown in the drawing. The dashed line in the drawing bisects the ${90}^0$ angle. The magnitude of the force applied by each rope is $2000 \mathrm{N}$. Arrange the force vectors tail to head and use the graphical technique to answer the following questions:

(a) How much force would a single rope need to apply to accomplish the same effect as the two forces are added together?

(b) How would the single rope be directed relative to the dashed line?