Respuesta :

Answer:

7 units, north

Explanation:

This is a problem of vector subtraction. We have:

- Vector A: magnitude 2 units, direction to the north

- Vector B: magnitude 5 units, direction to the south

If we take the north as positive direction, we can write

[tex]A = +2\\B=-5[/tex]

Since we want to find [tex]A-B[/tex] (vector subtraction), we have to change the sign of B, so we find:

[tex]A-B=+2-(-5))=+2+5=+7[/tex]

And the positive sign means the direction is north.