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ABCD is a parallelogram. If the coordina...

ABCD is a parallelogram. If the coordinates of `A ,\ B ,\ C\ a r e\ (2,3),\ (1,4)a n d\ (0,-2)` respectively, find the coordinates of D.

Text Solution

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Let the co-ordinate of D be (x,y). Since ABCD is a parallelogram.
`:. Vec(AB)=vec(DC)`
`rArr (hati+4hatj)-(2hati+3hatj)=(0hati-2hatj)-(xhati+yhatj)`
`rArr x=1" and " y=-3`

Hence the co-ordinates of point D are (1,-3).
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