Respuesta :
The magnitude of YZ is 4.243, it is obtained from the ordered pair that represents Y(3,1) and Z(0, 4).
Step-by-step explanation:
The given is,
Y ( 3, 1 ) and Z ( 0, 4 )
Step:1
Formula to calculate the magnitude of two points are,
[tex]Magnitude = \sqrt{( x_{2}-x_{1} )^{2} - ( y_{2}-y_{1} )^{2} }[/tex]................(1)
Where, [tex](x_{1},y_{1} )[/tex] and are points
From given the values,
Y ( 3, 1 ) - [tex](x_{1},y_{1} )[/tex]
Z ( 0, 4 ) - [tex](x_{2},y_{2} )[/tex]
Equation (1) becomes from the above values,
[tex]Magnitude = \sqrt{( 0- 3 )^{2} - ( 4-1 )^{2} }[/tex]
[tex]=\sqrt{ (-3)^{2} + (3)^{2} }[/tex]
[tex]= \sqrt{9+9}[/tex]
= [tex]\sqrt{18}[/tex]
= 4.2426406
≅ 4.243
Magnitude of YZ = 4.243
Result:
The magnitude of YZ is 4.243, it is obtained from the ordered pair that represents Y(3,1) and Z(0, 4).
