Respuesta :

To find the magnitude, we have to use the following formula

[tex]|d|=\sqrt[]{x^2+y^2}[/tex]

Where x = 1 and y = 3, let's use these values to find the magnitude.

[tex]\begin{gathered} |d|=\sqrt[]{1^2+3^2}=\sqrt[]{1+9}=\sqrt[]{10} \\ |d|\approx3.2 \end{gathered}[/tex]

The magnitude of the resultant vector is 3.2 meters, approximately.

To find the direction, we have to use the following formula

[tex]\begin{gathered} \theta=\tan ^{-1}(\frac{y}{x})=\tan ^{-1}(\frac{3}{1}) \\ \theta\approx71.6 \end{gathered}[/tex]

The direction of the resultant vector is 71.6°.

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