Question

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

Answer 1

D

Explanation:

(-5,-7);√74 units

Answer 2

Ordered pair of YZ is (-5,-7) and magnitude of YZ is 8.602

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) }`

=
`√(74)`

= 8.602

Another method:

magnitude of YZ = |YZ|

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

=
`√(74)`

= 8.602

magnitude of YZ = 8.602