Asked by Anonymous
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
Answers
Answered by
MathMate
Add up each component (north or east) separately, and finally find the distance by the vectorial sum (using Pythagoras).
North: 3-1=2km
East: 2+4=6
Distance = √(2²+6²)
=√(40)
=2√(10)
North: 3-1=2km
East: 2+4=6
Distance = √(2²+6²)
=√(40)
=2√(10)
Answered by
Triquenita
I don't understand where for North you put 3-1. The boat moved 1km South and 3km North. Is that how this was done?
Answered by
MathMate
In vectors, directions are <i>signed</i>.
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 (3-1).
Hope that clarifies how it's done.
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 (3-1).
Hope that clarifies how it's done.
Answered by
efrata
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