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TRIGONOMETRY Find the magnitude and the direction of the resultant vector

TRIGONOMETRY Find the magnitude and the direction of the resultant vector-example-1
User Master Bee
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Step 1:

Write the given vectors


\begin{gathered} \bar{V}\text{ = ( 10 , 9 )} \\ \bar{W}\text{ = (-6 , -2 )} \end{gathered}

Step 2

Resultant vector = [ 10 + (-6) , 9 + (-2) ]

= ( 4 , 7 )

Resultant vector = 4i + 7j

Step 3


\begin{gathered} \text{Magnitude = }\sqrt[]{4^2+7^2} \\ \text{Magnitude = }\sqrt[]{16\text{ + 49}} \\ \text{Magnitude = }\sqrt[]{65} \\ \text{Magnitude = 8.1} \end{gathered}

Step 4:


\begin{gathered} \text{Direction }\theta=tan^(-1)((4)/(7)) \\ \text{Direction = 29.7} \end{gathered}

User Lior Iluz
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