Q4 of 39 Page 109

Suppose P has coordinates (10,2) in a coordinate system X ’OX−Y ’OY and (−3,−6) in another coordinate system X1’O1X1↔ Y1’O1Y1? with X ’OX ║ X1’O1X1. Determine the coordinates of O with respect to the system X1’O1X1↔ Y1’O1Y1.

Given coordinate of P(x, y) = (10,2)


Coordinates of P with respect = (-3,-6)


toX1’O1X1↔ Y1’O1Y1(x’, y’)


to find, a & b


As we know, x = a + x’


10 = a - 3


a = 10+3


a = 13


similarly,


y = b + y’


2 = b - 6


b = 2+6


b = 8


So, Coordinates of O1 = (13, 8)


⇒ Coordinates of O With respect to O1 = (-13, -8)


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