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How do you find the magnitude of YZ given Y(-2,5) and Z(1,3)?

1 Answer

Shwetank Mauria

May 11, 2017

$| Y Z | = \sqrt{13}$ $|YZ|=sqrt13$

Explanation:

Magnitude of $Y Z$ $YZ$ given $Y (- 2, 5)$ $Y(-2,5)$ and $Z (1, 3)$ $Z(1,3)$

is given by $| Y Z | = \sqrt{{(1 - (- 2))}^{2} + {(3 - 5)}^{2}}$ $|YZ|=sqrt((1-(-2))^2+(3-5)^2)$

= $\sqrt{3^{2} + 2^{2}} = \sqrt{9 + 4} = \sqrt{13}$ $sqrt(3^2+2^2)=sqrt(9+4)=sqrt13$

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