Question

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

Answer 1

ANSWER

$|^{ \to} _{YZ}| = \sqrt{13}$

EXPLANATION

Given the points, y(-2,5),z(1,3)

$^{ \to} _{YZ} = \binom{1}{3} - \binom{ - 2}{5} = \binom{3}{ - 2}$

Therefore the ordered pair is <3,-2>

The magnitude is

$|^{ \to} _{YZ}| = \sqrt{ {3}^{2} + ( - 2)^{2} }$

$|^{ \to} _{YZ}| = \sqrt{ 9 +4}$

$|^{ \to} _{YZ}| = \sqrt{13}$

Answer 2

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