Assignment $1$

Given $A=4m$ and $B=-1m,$ find $C=A-B.$

If $A=-3m$ and $B=2m,$ find $3A+2B.$

Given $A=6m$ and $B=-4m,$ find $R=\frac{3}{4}A-\frac{1}{2}B.$

Given $A=-5m$ and $B=7m,$ compute $R=\frac{2}{5}(A-3B)+\frac{3}{2}B$

Convert the polar coordinates units, $($:$90\}$ to rectangular coordinates.

Convert the rectangular coordinates $(x,y)=(-3,-4)$ to polar coordinates.

Find the distance between the points $(1,2)$ and $(4,6)$ in rectangular coordinates.

Convert the polar coordinates units, $($:$135\}$ to rectangular coordinates and find the distance from the origin to the point.

Find the resultant force for $A=4l{b}_f$ at $0$ and $B=7l{b}_f$ at $90$ both along the same direction $(x-$axis$).$

Given $A=3$ units at $30$ and $B=4$ units at $120,$ compute the resultant vector using the parallelogram law.

Given $A=6N$ at $30$ and $B=8N$ at $150,$ compute the resultant force using the parallelogram law.

Convert from polar units, $($:$90,45\}$ to rectangular coordinates.

Convert the rectangular coordinates $(x,y,z)=(4,-3,5)$ to polar coordinates.

Find the unit vector in the direction of $A=(3,4).$

Find the unit vector in the direction of $A=(1,-2,2).$