SOLUTION: Ship A has position vector (9 i + 3 j) km. Relative to an observer on a second ship B, ship A has position vector (−9 i − 2 j) km. What is the position vector of shi

Algebra ->  Vectors -> SOLUTION: Ship A has position vector (9 i + 3 j) km. Relative to an observer on a second ship B, ship A has position vector (−9 i − 2 j) km. What is the position vector of shi      Log On


   

Question 1000520: Ship A has position vector (9 i + 3 j) km. Relative to an observer on a second ship B, ship A has position vector (−9 i − 2 j) km.
What is the position vector of ship B?
I had -18i -5j
However, both values are not correct
THANK YOU
Answer by KMST(5399) About Me  (Show Source):
You can put this solution on YOUR website!
"Ship A has position vector (9 i + 3 j) km" means that the map of whoever maps ships and assigns ship positions looks like this

(I am assuming that for assigning position vectors, the y-axis (or j-axis) points North,
and that applies to the absolute position of a ship,
and to its position relative to another ship).
"Relative to an observer on a second ship B, ship A has position vector (-9i-2j) km" means that the map with both ships looks like this

The absolute position vector for ship B would be
blue%28%289i%2B3j%29%29-red%28%28-9i-2j%29%29=highlight%28%2818i%2B5j%29%29