Final answer:
The sum of vectors u and v is <2, -3> units. The magnitude of u + v is sqrt(13) units.
Step-by-step explanation:
To find the sum of vectors u = <-2, 6> and v = <4, -9>, you simply add the corresponding components together. So, u + v = <-2+4, 6+(-9)> = <2, -3> units.
To find the magnitude of u + v, you can use the Pythagorean theorem. The magnitude, denoted as || u + v ||, is the square root of the sum of the squares of the components. So, || u + v || = sqrt(2^2 + (-3)^2) = sqrt(13) units.