Respuesta :

Answer:

C. [tex]\vert u \vert = \sqrt{29}[/tex]

Step-by-step explanation:

The magnitude of [tex]u[/tex] is given by

[tex]\vert u \vert = \sqrt{(\Delta x )^2+(\Delta y )^2}[/tex],

and to evaluate this we just need to find [tex]\Delta x[/tex] and [tex]\Delta y[/tex].

As we see in the graph

[tex]\Delta x = (-4)-1 = -5[/tex]       (the difference in x-coordinates of [tex]u[/tex])

and

[tex]\Delta y = (3)- (1)=2[/tex];         (the difference in y-coordinates of [tex]u[/tex])

Therefore,

[tex]\vert u \vert = \sqrt{(\Delta x )^2+(\Delta y )^2} = \sqrt{(-5)^2+(2)^2} \\\\\boxed{ \vert u \vert = \sqrt{29} }[/tex]

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