Question

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

Answer 1

Answer:

D

Step-by-step explanation:

(-5,-7);√74 units

Answer 2

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