Respuesta :
Answer:
Ordered pair of YZ is (-5,-7) and magnitude of YZ is 8.602
Step-by-step explanation:
Given data:
Two pairs Y (5,4) and Z (0, -3)
To find: ordered pair of YZ
YZ = Z - Y = (0-5, -3-4)
= (-5, -7)
Hence ordered pair of YZ is (-5,-7)
To find: magnitude of YZ.
Here Y and Z are initial and final points of vector. Magnitude of YZ is distance between points Y and Z. Distance formula is
Distance = [tex]\sqrt{(x2-x1)^{2} + (y2-y1)^{2} }[/tex]
magnitude of YZ = [tex]\sqrt{(0-5)^{2} + (-3-4)^{2} }[/tex]
= [tex]\sqrt{74}[/tex]
= 8.602
Another method:
magnitude of YZ = |YZ|
|YZ| = [tex]\sqrt{(-5)^{2} + (-7)^{2} }[/tex] ...............(since |xy| = [tex]\sqrt{(x)^{2} + (y)^{2} }[/tex]
= [tex]\sqrt{74}[/tex]
= 8.602
magnitude of YZ = 8.602
