Write the ordered pair that represents y. Then find the magnitude of y.

14-2,5), 2(1, 3)

a. (3. - 2); „13 units

C. (3. - 2); 2-5 units

b. (1,5): V13 units

d. (1,5); 2-7 units

Respuesta :

Answer:

(3,-2), [tex]\sqrt{13} }[/tex] units

Step-by-step explanation:

the correct question is:

Write the ordered pair that represents yz. Then find the magnitude of yz . y(-2,5),z(1,3)

SOLUTION:

points given are  y(-2,5) and z(1,3)

[tex]^{ \to} _{YZ} = \binom{1}{3} - \binom{ - 2}{5} = \binom{3}{ - 2}[/tex]

so, the ordered pair is (3,-2)

next is to find the magnitude:

[tex]|^{ \to} _{YZ}| = \sqrt{ {3}^{2} + ( - 2)^{2} }[/tex]

[tex]|^{ \to} _{YZ}| = \sqrt{ 9 +4}[/tex]

[tex]\\|^{ \to} _{YZ}| = \sqrt{13} }[/tex] units