TOA and roB are the position vectors of the two particles A and B at time t. If both particles start moving when t= 0, determine whether the particles collide and, if they do, give the value of t when this occurs and the position vector of the point of collision. If they do not, find the time and their distance apart when they are closest together. (a) roA = 3i – 7ị+(3i +2j)t, rOB = 8i – 6j + (2ị + j)t. (b) roA = -5ị+2j+9k+(5i-j+2k)t, rOB =i+2j+3k+(3i-j+4k)t. %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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TOA and roB are the position vectors of the two particles A and B at
time t. If both particles start moving when t = 0, determine whether the
particles collide and, if they do, give the value of t when this occurs and
the position vector of the point of collision. If they do not, find the time
and their distance apart when they are closest together.
(a) rOA = 3i – 7j + (3i + 2j)t, roB = 8i – 6j + (2i + j)t.
(b) roA = -5ị+2j+9k+(5i-j+2k)t, rOB =i+2j+3k+(3i-j+4k)t.
Transcribed Image Text:TOA and roB are the position vectors of the two particles A and B at time t. If both particles start moving when t = 0, determine whether the particles collide and, if they do, give the value of t when this occurs and the position vector of the point of collision. If they do not, find the time and their distance apart when they are closest together. (a) rOA = 3i – 7j + (3i + 2j)t, roB = 8i – 6j + (2i + j)t. (b) roA = -5ị+2j+9k+(5i-j+2k)t, rOB =i+2j+3k+(3i-j+4k)t.
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