gaokao 2004 Q6

gaokao · China · shanghai-science Vectors Introduction & 2D Vector Word Problem / Physical Application
6. Given point $A ( 1 , - 2 )$, if vector $\overrightarrow { AB }$ is in the same direction as $\vec { a } = \{ 2,3 \}$, [Figure] and $| \overrightarrow { AB } | = 2 \sqrt { 13 }$, then the coordinates of point B are $\_\_\_\_$.
6. Given point $A ( 1 , - 2 )$, if vector $\overrightarrow { AB }$ is in the same direction as $\vec { a } = \{ 2,3 \}$,\\
\includegraphics[max width=\textwidth, alt={}]{56d01bdc-8ab1-4718-a996-9a18a117d4ac-01_259_432_1489_1197} and $| \overrightarrow { AB } | = 2 \sqrt { 13 }$, then the coordinates of point B are $\_\_\_\_$.