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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