Relative velocity in Two Dimension
For two objects A and B moving with the uniform velocities
VA and
VB.
Relative velocity is defined as
VBA=
VB-
VA
where
VBA is relative velocity of B relative to A
Similarly relative velocity of A relative to B
VAB=
VA-
VB
we will need to add or subtracting components along x & y direction to get the relative velocity
Suppose
vA=v
xai + v
yaj
vB=v
xbi + v
ybj
Relative velocity of B relative to A
=v
xbi + v
ybj -(v
xai + v
yaj)
=
i(v
xb-v
xa) +
j(v
yb-v
ya)
For three dimensions motion
vA=v
xai + v
yaj +v
zaz
vB=v
xbi + v
ybj + v
zbz
Relative velocity of B relative to A
=v
xbi + v
ybj + v
zbz -(v
xai + v
yaj +v
zaz)
=
i(v
xb-v
xa) +
j(v
yb-v
ya)+
z(v
yb-v
ya)
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