Final answer:
The magnitude of the vector is 15.0 units.
Step-by-step explanation:
To find the magnitude of the vector, we can use the Pythagorean theorem. The vector points 12.0 units along the x-axis and 9.00 units along the y-axis. These are the x- and y-components of the vector. Let's call the x-component A and the y-component B. According to the Pythagorean theorem, the magnitude of the vector R is given by:
R = sqrt(A^2 + B^2)
Substituting the values, we get:
R = sqrt((12.0)^2 + (9.00)^2) = sqrt(144 + 81) = sqrt(225) = 15.0
Therefore, the magnitude of the vector is 15.0 units.