Consider the Following Vectors Below?

A=50 units, 40 degrees


B=200 units, 0 degrees


C=300 units, 300 degrees


D=100 units, 250 degrees





Determine the magnitude and direction of the resultant vector:


1 R=B-D (using the polygon method scale: 1cm=50 units


2 R=A+B+C (using polygon, same scale)


3 R=B+C (using the law of Cosine)


4 R=A+B+C+D (using component method)





I'm confused at the wording of this question in general. I got a R=478.37 units and an ANGLE 42.25 SE. I think that's the component method, but how the hell am I suppose to use the polygon method when it's not a triangle?? Maybe someone can explain this question to me, because I'm lost.

Consider the Following Vectors Below?
The polygon method is where you draw the two vectors on a piece of paper, using the given scale (1cm = 50 units). You need a ruler and a protractor to check your answer.





For number 1, draw vector B by making a horizontal line from the origin going to the right that is 4 cm (200 units) long. Next, draw a line from the end of vector B that is 2 cm (100 units) long, but goes 70 degrees NE (opposite of 250 degrees because we're subtracting). Now, draw a line from the origin to the end of vector D and you have R. Measure the length of R with a ruler and the angle of R with a protractor to make sure it matches the calculated value.





I hope this helps!

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