Q. 84.7( 3 Votes )

If <span lang="EN

Answer :

We know position vector of a point (x, y) is given by, where and are unit vectors in X and Y directions.


So, position vector of (5, –3) is



Given A = (4, –1) and let the coordinates of B = (x, y)


Let position vectors of points A and B be and respectively.



We also have.


Recall the vector is given by






But, it is given that



By comparing both sides, we get x – 4 = 5 and y + 1 = –3


x = 5 + 4 = 9


and y = –3 – 1 = –4


So, x = 9 and y = –4


Thus, coordinates of point B are (9, –4).


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