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About 161km

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Q: When a plane flies 250km on a bearing of 50 degrees how far north is it from its original position?
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What are the roles of vector and scalar quantities in a trip?

The distance you travel is a scalar quantity. For example, if you drive 500km round trip, your total distance traveled is 500km. However, your change in position, which is displacement, is a vector quantity, which includes direction. So if you drive 250km North, and then drive back home 250km South, your displacement will be zero because of vector addition. 250km North would be +250km, and 250km South would be -250km. So the displacement for your trip would be 250km + - 250 km = 0 km. Your total change in position for your trip would be zero.


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