Consider the two vectors vec$(A)=$hat$(i)-3$hat$(j)$ and vec$(B)=-$hat$(i)-2$hat$(j).$

$($a$)$ Calculate vec$(A)+$vec$(B)$

Be careful with the negative signs when calculating $A_x+B_x*hat(i)+$

When adding vectors that are given in component form, simply add the $x$ compon

$($b$)$ Calculate vec$(A)-$vec$(B)$

hat$(i)+,$hat$(j)$

$($c$)$ Calculate $|vec(A)+$vec$(B)|$

$($d$)$ Calculate $|vec(A)-$vec$(B)|$

$($e$)$ Calculate the directions of vec$(A)+$vec$(B)$ and vec$(A)-$vec$(B).$

vec$(A)+$vec$(B)$

$($counterclockwise from the $+x$ axis$)$

vec$(A)-$vec$(B)$

$($counterclockwise from the $+x$ axis$)$