18. The position vectors of points of P and Q, relative to the origin O are -3į m and 7i m respectively. At a certain instance, a particle A leaves P with velocity (5i +6j) m/s and a particle B leaves Q with a velocity (i+3j) m/s. Find the (a) magnitude and direction of the velocity of A relative to B, (b) shortest distance between the two particles in their subsequent motion, time taken by each particle to reach the positions where they are closest together. (c)

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18.
The position vectors of points of P and Q, relative to the origin O are -3į m and 7i m
respectively. At a certain instance, a particle A leaves P with velocity (5i +6j) m/s and
particle B leaves Q with a velocity (+3j) m/s. Find the
a
(a) magnitude and direction of the velocity of 4 relative to B,
(b)
shortest distance between the two particles in their subsequent motion,
(c)
time taken by each particle to reach the positions where they are closest together.
Transcribed Image Text:18. The position vectors of points of P and Q, relative to the origin O are -3į m and 7i m respectively. At a certain instance, a particle A leaves P with velocity (5i +6j) m/s and particle B leaves Q with a velocity (+3j) m/s. Find the a (a) magnitude and direction of the velocity of 4 relative to B, (b) shortest distance between the two particles in their subsequent motion, (c) time taken by each particle to reach the positions where they are closest together.
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