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Fiesta28 [93]
3 years ago
13

Write the order pair that represents YZ. Then find the magnitude of YZ. Y(5,4), Z (0,-3)

Mathematics
2 answers:
anzhelika [568]3 years ago
8 0

Answer:

D

Step-by-step explanation:

(-5,-7);√74 units

sweet-ann [11.9K]3 years ago
4 0

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 = \sqrt{(x2-x1)^{2} + (y2-y1)^{2}  }

magnitude of YZ =  \sqrt{(0-5)^{2} + (-3-4)^{2}  }

                             = \sqrt{74}

                             = 8.602

Another method:

magnitude of YZ = |YZ|

|YZ| = \sqrt{(-5)^{2} + (-7)^{2}  }  ...............(since |xy| = \sqrt{(x)^{2} + (y)^{2}  }

       = \sqrt{74}

       = 8.602

magnitude of YZ = 8.602

   

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