The magnitude of ordered pair MP is 7.07, If the given points are M (2,-1) and P (-3, 4).
Step-by-step explanation:
The given is,
The ordered pair that represents MP
M (2, -1)
P (-3, 4)
Step:1
Distance formula can be used to calculate the magnitude,
Formula to calculate magnitude of point MP is,
[tex]Magnitude = \sqrt{(x_{2}-x_{1})^{2}+(y_{2} -y_{1} )^{2} }[/tex]................(1)
Where, [tex](x_{1}, x_{2} )[/tex] and [tex](y_{1}, y_{2} )[/tex] are points
From the given values,
M (2, -1) - [tex](x_{1}, y_{1} )[/tex]
P (-3,4) - [tex](x_{2}, y_{2} )[/tex]
Equation (1) becomes,
[tex]Magnitude of MP = \sqrt{(-3-2)^{2}+(4 +1 )^{2} }[/tex]
[tex]= \sqrt{(-5)^{2}+(5 )^{2} }[/tex]
[tex]= \sqrt{25+25}[/tex]
[tex]= \sqrt{50}[/tex]
= 7.07106 ≅ 7.07
Magnitude of MP = 7.07
Result:
The magnitude of ordered pair MP is 7.07, If the given points are M (2,-1) and P (-3, 4).
