Answer:
Third option <3, 9>
Step-by-step explanation:
u and v are two vectors and we know the Cartesian components of these vectors.
We must find the sum of u + v.
If we have the Cartesian components of both vectors then the sum of both is done by adding the components of u with the components of v.
[tex]u = <1, 3>\\v = <2, 6>[/tex]
[tex]u + v = (1 + 2) i + (3 + 6) j[/tex]
Where i is the vertical component and j is the horizontal component
Then u + v is
[tex]u + v = (3) i + (9) j[/tex]
[tex]u+v = <3, 9>[/tex]
