1.

Calculate the displacement vector itvec(r)_(1) = x_(1) hat(i) + y _(1) hat(j) + z_(1)hat(k), vec(r)_(2) = x_(2) hat(i) + y_(2) hat(j) + z_(2) hat(k)

Answer»

Solution :Letus consider a particle moving from a point`P_(1)`having position vector`vec(r)_(1) = x_(1) HAT(i) + y_(1) hat(J) + z_(1) hat(k)`to a point `P_(2)`where its position vector is`vec(r)_(2) = x_(2) hat(i) + y_(2) hat(j) + z_(2) hat(k)`
The displacement vector is givne by ,
`DELTA vec(r) = vec(r)_(2) - vec(r)_(1)`
`= (x_(2) - x_(1)) hat(i) + (y_(2) - y_(1)) hat(j) + (z_(2) - z_(1)) hat(k)`


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