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Two surface battleships on maneuvers are trying to determine a submarine's course and speed to prepare for an aircraft interception. battleship A is located 4000 feet east of an oi rig O. battleship B is located 5000 feet north of the same oil rig O. Consider the i vector as due east, j vector as due north, and k vector as altitude where up is positive. battleship A 1000 locates a submarine in the direction of the vector 2000i + 3000j - -k, and battleship B 3 locates it in the direction of the vector 18000i - 6000j 1000k. Four minutes ago, the The aircraft is due in 20 minutes. 1000 submarine was located at 2000, 1000, 3 . Assuming the submarine moves in a straight line at a constant speed, to what position should the surface ships direct the aircraft?

Two surface battleships on maneuvers are trying to determine a submarine's course and speed to prepare for an aircraft interception. battleship A is located 4000 feet east of an oi rig O. battleship B is located 5000 feet north of the same oil rig O. Consider the i vector as due east, j vector as due north, and k vector as altitude where up is positive. battleship A 1000 locates a submarine in the direction of the vector 2000i + 3000j - -k, and battleship B 3 locates it in the direction of the vector 18000i - 6000j 1000k. Four minutes ago, the The aircraft is due in 20 minutes. 1000 submarine was located at 2000, 1000, 3 . Assuming the submarine moves in a straight line at a constant speed, to what position should the surface ships direct the aircraft?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 45E
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Two surface battleships on maneuvers are trying to determine a submarine's course and speed to prepare for an aircraft interception. battleship A is located 4000 feet east of an oil rig O. battleship B is located 5000 feet north of the same oil rig O. Consider the i vector as due east, j vector as due north, and k vector as altitude where up is positive. battleship A 1000 locates a submarine in the direction of the vector 2000i +3000j - -k, and battleship B locates it in the direction of the vector 18000i - 6000j - 1000k. Four minutes ago, the The aircraft is due in 20 minutes. 3 submarine was located at 2000, 1000, (2000, 1000). 3 Assuming the submarine moves in a straight line at a constant speed, to what position should the surface ships direct the aircraft?
Transcribed Image Text:Two surface battleships on maneuvers are trying to determine a submarine's course and speed to prepare for an aircraft interception. battleship A is located 4000 feet east of an oil rig O. battleship B is located 5000 feet north of the same oil rig O. Consider the i vector as due east, j vector as due north, and k vector as altitude where up is positive. battleship A 1000 locates a submarine in the direction of the vector 2000i +3000j - -k, and battleship B locates it in the direction of the vector 18000i - 6000j - 1000k. Four minutes ago, the The aircraft is due in 20 minutes. 3 submarine was located at 2000, 1000, (2000, 1000). 3 Assuming the submarine moves in a straight line at a constant speed, to what position should the surface ships direct the aircraft?
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