Respuesta :

mergl
5^2+(-2)^2=29
magnitude=(29)^(1/2)=around 5.3852

Answer:

The magnitude of the given vector is [tex]\sqrt{29}[/tex].

Step-by-step explanation:

The magnitude of a vector v=<a,b> is defined as

[tex]|v|=\sqrt{a^2+b^2}[/tex]

The given vector is

[tex]v=<5,-2>[/tex]

The magnitude of the given vector is

[tex]|v|=\sqrt{5^2+(-2)^2}[/tex]

[tex]|v|=\sqrt{25+4}[/tex]

[tex]|v|=\sqrt{29}[/tex]

Therefore the magnitude of the given vector is [tex]\sqrt{29}[/tex].