The relative velocity of a locus of curves is the rate of change of the position of a point on a curve with respect to another moving curve.
Absolute velocity refers to the rate of change of the position of a point with respect to a fixed frame of reference, while relative velocity of locus of curves considers the motion of one curve with respect to another.
Relative velocity of locus of curves is commonly used in navigation and tracking systems, such as in airplanes and satellites, to determine the relative position and speed of moving objects.
Yes, relative velocity of locus of curves can be negative. This indicates that the two curves are moving in opposite directions, resulting in a decrease in the distance between them.
The relative velocity of locus of curves can be calculated using the derivative of the position vectors of the two curves with respect to time. This can be represented by the formula vrel = d(r1-r2)/dt, where r1 and r2 are the position vectors of the two curves.