The required magnitude of the vector is √13. Option D is correct.
A graph is given, that shows the vector, the magnitude of the vector is to be determined.
What is vertex form?
Vector form is defined as representing any point in space that has both magnitude and direction. A point k in space is represented as a vector OKi + OKj, which denotes the vector line, OK joining the line from the origin O to the point k. The vector form is used to define a line or a plane in a 3D space.
From the figure,
given vector can be expressed as,
[tex]\bar v = 3\bar i+2\bar j[/tex]
now the magnitude of vactor,
[tex]|\bar v| = \sqrt{3^2+2^2}\\|\bar v| = \sqrt{9+4}\ \\|\bar v| = \sqrt{13}\[/tex]
Thus, the required magnitude of the vector is √13. Option D is correct.
Learn more about vector form here:
brainly.com/question/13921516
#SPJ5