Question

Write the ordered pair that represents YZ. Then find the magnitude of YZ
Y(3,1) Z(0,4)

Answer 1

The magnitude of YZ is 4.243, it is obtained from the ordered pair that represents Y(3,1) and Z(0, 4).

Explanation:

The given is,

Y ( 3, 1 ) and Z ( 0, 4 )

Step:1

Formula to calculate the magnitude of two points are,

`Magnitude = \sqrt{( x_(2)-x_(1) )^(2) - ( y_(2)-y_(1) )^(2) }`................(1)

Where,
`(x_(1),y_(1) )` and are points

From given the values,

Y ( 3, 1 ) -
`(x_(1),y_(1) )`

Z ( 0, 4 ) -
`(x_(2),y_(2) )`

Equation (1) becomes from the above values,

`Magnitude = \sqrt{( 0- 3 )^(2) - ( 4-1 )^(2) }`

`=\sqrt{ (-3)^(2) + (3)^(2) }`

`= √(9+9)`

=
`√(18)`

= 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).