'Two particles moving with constant velocity are described by the position vectors: P = Po + vt, s = So + wt a) Show that the shortest distance between their trajectories is given by d = |(Sopo) (wxv)| |wxv| b) Find the shortest distance between the particles themselves.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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'Two particles moving with constant velocity are described by the position vectors:
p = Po + vt, s = So + wt
a) Show that the shortest distance between their trajectories is given by
I(so Po) (w xv)|
|wxv|
b) Find the shortest distance between the particles themselves.
d =
Transcribed Image Text:'Two particles moving with constant velocity are described by the position vectors: p = Po + vt, s = So + wt a) Show that the shortest distance between their trajectories is given by I(so Po) (w xv)| |wxv| b) Find the shortest distance between the particles themselves. d =
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