$3$Three friends $\displaystyle \mathrm{A}, \mathrm{B}$ and C move out from the same location O at the same time in three different directions to reach their destinations. They move out on straight paths and decide that A and B after reaching their destinations will meet up with C at his predecided destination, following straight paths from $\displaystyle \mathrm{A}$ to $\displaystyle C$ and $\displaystyle \mathrm{B}$ to $\displaystyle C$ in such a way that $\displaystyle \overrightarrow{O \mathrm{A}}=\vec{\mathrm{a}}$, $\displaystyle \overrightarrow{\mathrm{OB}}=\overrightarrow{\mathrm{b}}$ and $\displaystyle \overrightarrow{\mathrm{OC}}=5 \overrightarrow{\mathrm{a}}-2 \overrightarrow{\mathrm{~b}}$ respectively. 2025_CBSE_Mathematics_Set_Region7_Subset_Set1_Q36_SECTION-E__p10_11

2025_CBSE_Mathematics_Set_Region7_Subset_Set1_Q36_SECTION-E__p10_11

Based upon the above information, answer the following questions : (i) Complete the given figure to explain their entire movement plan along the respective vectors. Case Study - 2

Mathematics · Vector Algebra