Posted by Anonymous on Saturday, December 11, 2010 at 4:05pm.
a boat starts at point A, moves 3km due north, then 2 km due east, then 1 km due south, and then 4 km due east to point b. Find the distance AB

Math  MathMate, Saturday, December 11, 2010 at 6:05pm
Add up each component (north or east) separately, and finally find the distance by the vectorial sum (using Pythagoras).
North: 31=2km
East: 2+4=6
Distance = √(2²+6²)
=√(40)
=2√(10)

Math  Triquenita, Saturday, December 11, 2010 at 7:41pm
I don't understand where for North you put 31. The boat moved 1km South and 3km North. Is that how this was done?

Math  MathMate, Saturday, December 11, 2010 at 9:05pm
In vectors, directions are signed.
This means that if we take the positive direction as north, then going south is backwards, and is thus represented as negative. Otherwise it would not make a difference between going 3 km north and 1 km north (3+1), and going 3 km north and 1 km south (31).
Hope that clarifies how it's done.

Math  efrata, Thursday, October 2, 2014 at 2:08pm
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