(Solved): ConsidervedonsA=10i^+30j^andB=40i^+50j^. Calculate A+B Express your answers as c ...

$\text{ Considervedons }\vec{A}=10\hat{i}+30\hat{j}\text{ and }\vec{B}=-40\hat{i}+50\hat{j}\text{. }$ Calculate $\vec{A}+\vec{B}$ Express your answers as comiponenta. Enter the $x$ and $y$ components of the vector separated by a comma. - Part B Calculate $\vec{A}\cdot \vec{B}$ Express your onswer as componuats Enter the $\mathrm{x}$ and $\mathrm{y}$ components of the vector separated by a comma. If the direction (but not the magnitude) of $\vec{B}$ is allowed to change by any amount you like, how large can $|\vec{A}+\vec{B}|$ be? Part D If the direction (but not the magnitude) of $\vec{B}$ is allowed to change by any amount you like, how smatl can $|\vec{A}+\vec{B}|$ be?