2. Two mobiles move in the same direction along the line of equation x + 3 y + 10 z - 10 -20 10 20 The mobile M; is located at point A (-3, -10, 10) and moves at a speed of 6m/s towards point B (7, 10, -10) where the mobile M2 is located which is moving as to him, in the same direction, at a speed of 3m/s. We will assume that the equation of the line, as well as the coordinates of the points are expressed in meters. a-) For each mobile, give a vector equation making it possible to determine its position at each instant t, where t is expressed in seconds. b-) Determine when t the two mobiles will meet.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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2. Two mobiles move in the same direction along the line of equation
x +3 y+ 10 z- 10
10
20
-20
The mobile M, is located at point A (-3, -10, 10) and moves at a speed of 6m/s towards
point B (7, 10, -10) where the mobile M2 is located which is moving as to him, in the same
direction, at a speed of 3m/s. We will assume that the equation of the line, as well as the
coordinates of the points are expressed in meters.
a-) For each mobile, give a vector equation making it possible to determine its position
at each instant t, where t is expressed in seconds.
b-) Determine when t the two mobiles will meet.
Transcribed Image Text:2. Two mobiles move in the same direction along the line of equation x +3 y+ 10 z- 10 10 20 -20 The mobile M, is located at point A (-3, -10, 10) and moves at a speed of 6m/s towards point B (7, 10, -10) where the mobile M2 is located which is moving as to him, in the same direction, at a speed of 3m/s. We will assume that the equation of the line, as well as the coordinates of the points are expressed in meters. a-) For each mobile, give a vector equation making it possible to determine its position at each instant t, where t is expressed in seconds. b-) Determine when t the two mobiles will meet.
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