Answer:
u = 7.21
Step-by-step explanation:
The magnitude of u is just the distance between the two points. The coordinates of the left-most point are (-2,-8) and the coordinates of the right point are (4, -4). I'm assuming the x coordinates here because we don't actually know the scale.
Ok so from these points, you can draw a triangle (u can see it in the attached file).
From the coordinates we can tell the lengths of the sides, and the triangle shows that u is the hypotenuse of the triangle. This triangle is also a right triangle, so u can use Pythagoras' theorem to find the length of u.
[tex]a^{2}+b^{2} = c^{2} \\6^{2}+4^{2} = c^{2} \\\sqrt{6^{2} +4^{2} } = c\\\sqrt{36+16} = c\\7.21 = c[/tex]
Since c = u, we know now that the magnitude of u is 7.21
Hope this helps!
