Sunday, November 13, 2011

Solving Vector Problems when they both start from the same origin?

I was wondering how to solve vector problems involving two vectors that start from the same point of origin? How would you draw the resultant vector? Here's a sample problem





Vector A has a magnitude of 3.00m and direction of 30 degrees. Vector B has a magnitude of 3.00m and a direction of 90 degrees. Find Vector A + Vector B.





Which direction does the vector go in this case? Does it go in between them (like 60 degrees)?|||When performing vector addition, you always place the start of one vector at the end of the other. Vector addition is commutative, so the order doesn't matter. If you put the start of B at the end of A, then the vector sum goes from the start of A to the end of B.





Vectors, in the context in which you're working with them, do not have a defined start point--they only have magnitude and direction. So you can slide them around freely, as long as you don't change their length or rotate them.|||no


vector A goes east and vecter B goes west


think of a circle


think of 30 degrees going clockwise


the direction is east which represents A


and now think of 90 degrees which represents B

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