Two vectors $\overrightarrow{\mathrm{a}}$-of magnitude 3 and $\overrightarrow{\mathrm{b}}$ of magnit

Question

Two vectors $\overrightarrow{\mathrm{a}}$-of magnitude 3 and $\overrightarrow{\mathrm{b}}$ of magnitude 4 are added. Then magnitude of $\vec{a}+\vec{b}$ is

Professor PC Thomas Classes · Answer

The magnitude of $\vec{a}+\vec{b}$ lies between $|\vec{a}|-|\vec{b}|$ and $|\vec{a}|+|\vec{b}|$, i.e., $1$ and $7$.