part $1$ of $2$

Consider three force vectors vec$(F{)}_1$ with mag$-$

nitude $47N$ and direction $120,$vec$(F{)}_2$ with mag$-$

nitude $26N$ and direction $-150,$ and vec$(F{)}_3$

with magnitude $24N$ and direction $33.$ All

direction angles $$ are measured from the pos$-$

itive $x$ axis: counter$-$clockwise for $>0$ and

clockwise for

What is the magnitude $F$ of the net force

vector vec$(F)=$vec$(F{)}_1+$vec$(F{)}_2+$vec$(F{)}_3?$

Answer in units of $N.$

part $2$ of $2$

What is the direction of vec$(F)$ as an angle

between the limits of $-180$ and $+180$ from

the positive $x$ axis with counterclockwise as

the positive angular direction.

Answer in units of $.$