How Do You Calculate Total Displacement Using the Component Method?

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To calculate total displacement using the component method, first sum the x components and y components of the given vectors. After obtaining the total for each component, apply the Pythagorean theorem to find the resultant displacement. The correct total displacement in this case is stated to be 11 km. It's crucial to ensure accurate addition of components to avoid errors in the final calculation. Understanding this method is essential for solving vector problems effectively.
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Homework Statement


Use the componant method to determine the total displacement given by the two vectors shown in each diagram.

bcbace12399df7085697e7ea942e1eba.png



Homework Equations





The Attempt at a Solution



I thought I just had to find the third unknown side, and use the pythagorean theorem, but I was getting the wrong answer. My book says 11 km.

Any help is appreciated.
 
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You've got to add up the x components , add up the y components, then use Pythagoras
 

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