ANSWER
[tex]|^{ \to} _{YZ}| = \sqrt{13} [/tex]
EXPLANATION
Given the points, y(-2,5),z(1,3)
[tex] ^{ \to} _{YZ} = \binom{1}{3} - \binom{ - 2}{5} = \binom{3}{ - 2} [/tex]
Therefore the ordered pair is <3,-2>
The magnitude is
[tex] |^{ \to} _{YZ}| = \sqrt{ {3}^{2} + ( - 2)^{2} } [/tex]
[tex] |^{ \to} _{YZ}| = \sqrt{ 9 +4} [/tex]
[tex]|^{ \to} _{YZ}| = \sqrt{13} [/tex]
