How do you use component vectors to solve real-world and applied problems?

1 Answer
Feb 11, 2015

Often when two processes interact we only know the component vector values and need to be able to combine these to get a desired result.

This might be more easily understood by an example:
Suppose I am trying to fly from point A to point B which is due North of point A. My plane flies at an air speed of 100 miles/hour but there is a wind blowing due West at 30 miles/hour. How many degrees East of North do I need to orient my plane to fly in a straight line to B?

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From the above diagram, I need to head my plane (approximately)
#17.5^o# East of North.

This problem could be extended to ask:
If it is 200 miles from A to B and my plane has enough gas to fly 250 miles will I be able to make this trip?