How to Calculate the Resultant Vector from Multiple Displacement Vectors?

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To calculate the resultant vector from multiple displacement vectors, first, break down each vector's components based on their directions and magnitudes. For the given vectors, the net displacement in the east-west direction is -0.5 km (0.5 km west), and in the north-south direction, it is 0.75 km (3.75 km north minus 3 km south). The resultant vector can be determined using the Pythagorean theorem, which combines these two components. A diagram illustrating the vectors as arrows can aid in visualizing their directions and magnitudes. Understanding the individual contributions of each vector is crucial for solving the problem effectively.
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I am a beginner in physiscs and i am soo confused...

Prob:
Diaplacement vectorA points due east and has a magnitude of 2 km and dissplacement vector B points due north and has a magnitude of 3.75km. Displacement vector C points due west and has a magnitude of 2.5 km and displacement vector d points due south with a magnitude of 3 km. Find the magnitude and direction ( in respect to west) of the resultant vector a+b+c+d
 
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Make a diagram, draw vectors as arrows. Try to make their arrows proportional to their magnitude.

You could even think of it this way,if you go east 2km, and then west 2.5 km, than you know you went west .5 km, and then north 3.75, south 3km, therefore in total you went west .5km and north .75 km.

Now, you can even use the pythagorean theorem to solve this...

Next time, PLEASE try to say what you tried to do, what didn't work, and why you are confused. It would help greatly.
 
Ok Thank you! so much!
 
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