49. Displacement vector  points due east and has a magnitude of 2.00 km. Displacement vector   points due north and has a magnitude of 3.75 km. Displacement vector  points due west and has a magnitude of 2.50 km. Displacement vector  points due south and has a magnitude of 3.00 km. Find the magnitude and direction (relative to due west) of the resultant vector .

 

Plotting these vectors and the resultant looks like this

Find the components of the four vectors

 

 

 

Now we find the Resultant x and y-components

 

 

Now Combine and find R and q

 

 

Minus sign on  tells us this a second quadrant angle.  We can drop it now to find q relative to due west as asked for.

 

 

 

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This page last updated on January 11, 2020