Question

Determinati valoarea parametrului real m astfel incat vectorii: u=(m-3)i + 2j si v=(2m-1)i + j ,sa fie coliniari  

u, v , i si j au sageti deasupra

Answer 1

Vectorii
$\overrightarrow v_1=a\overrightarrow i+b\overrightarrow j$
        
$\overrightarrow v_2=c\overrightarrow i+d\overrightarrow j$       

sunt coliniari daca $\dfrac ac=\dfrac bd$

In cazul nostru obtinem:

$\dfrac{m-3}{2m-1}=\dfrac21\Rightarrow m-3=4m-2\Rightarrow m=-\dfrac13$