For the vectors (vec{A}=2.0 hat{imath}+3.0 hat{jmath}) and (vec{B}=-4.0 hat{imath}+5.0 hat{jmath}), calculate ((a) vec{A}+vec{B}) and (b) (vec{A}-vec{B}). (c)

Question:

For the vectors $\vec{A}=2.0 \hat{\imath}+3.0 \hat{\jmath}$ and $\vec{B}=-4.0 \hat{\imath}+5.0 \hat{\jmath}$, calculate $(a) \vec{A}+\vec{B}$ and (b) $\vec{A}-\vec{B}$. (c) 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? How small?

Fantastic news! We've Found the answer you've been seeking!