Respuesta :
Answer:
Ordered pair of yz is ( 9 , 9 ) and Magnitude of yz is 9√2 unit.
Step-by-step explanation:
Given ordered pair of y and z are ( 14 , -23 ) and ( 23 , -14 ) respectively
To find: Ordered pair of yz and magnitude of yz
To find order pair of yz we subtract ordered pair of y from z.
Ordered pair of yz = ( 23 - 14 , -14 - (-23) )
= ( 9 , -14 + 23 )
= ( 9 , 9 )
Magnitude of yz , [tex][\left|yz\right|\:=\:\sqrt{9^2+9^2}[/tex]
= [tex]\sqrt{81+81}[/tex]
= [tex]\sqrt{2\times81}[/tex]
= [tex]9\sqrt{2}[/tex]
Therefore, Ordered pair of yz is ( 9 , 9 ) and Magnitude of yz is 9√2 unit.
