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02.18.2008 at 01:09AM PST, ID: 23170871
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Calculate heading between two points

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7.6
Tags:

Spherical Coordinates, Vector, Trigonometry, Geometry, Vector Algebra, 3D

Assume you are in Cartesian space at coordinates {32, 99, -6}.   You are traveling to coordinates  {-16, 44, 36}.  There are two headings (bearings/directions) to find, the angle at which you must move on the x and y axis towards your destination and the angle at which you must move up or down on the z axis to reach your destination.  Angles for the x,y axes range from 0 to 360 degrees, whereas angles for the z axis range from 90 degrees (straight up) to -90 degrees (straight down).   The distance between the previous two coordinates is 84.219 units.  Assuming you have no acceleration (you move at 1 unit/second, there is no speeding up or slowing down), at which angles do I need to move on the x,y axis and which angle on the z axis if I move forwards 84.219  units and how do you calculate this?

Am I right in assuming I need to convert to spherical coordinates?  Thanks!
 
Accepted Solution by Infinity08:

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Author Comment by ZTJANK:

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Expert Comment by Infinity08:

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