How Do You Calculate Vector Displacement from a Plane to a Ship?

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In summary, the conversation is about determining the vector displacement from a rescue plane to a sinking ship using information about their positions and angles relative to a radar station. The answer should be expressed in terms of east, north, and up, with units included. The user is seeking help because they were unable to solve it themselves.
  • #1
yj-k91
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can some1 help me with this question??

A radar station locates a sinking ship at range 18.2 km and bearing 134° clockwise from north. From the same station a rescue plane is at horizontal range 20.0 km, 151° clockwise from north, with elevation 2.33 km. What is the vector displacement from plane to ship, letting i represent east, j north, and k up. Enter answers in this order and include units.

i tried it myself but i can't get the answer. please help
 
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  • #2


hello yj-k91 and welcome to PF :smile:
consider the radar station as the original point [zero point], then represent the position of both ship and plane in the form of:

Vship=x1i+y1j+z1k

Vplane=x2i+y2j+z2k

now, x and y values can be calculated using the given angles and distances [note that the angles are clockwise from the y-axis], the vector displacement from plane to ship will be:

Vd=Vship-Vplane
 
  • #3


thank you so much drizzle.
 

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