Representation of vectors

A two-dimensional vector v running from the origin to a point can be represented as a pair consisting of an x -coordinate and a y -coordinate. Implement a data abstraction for vectors by giving a constructor make-vect and corresponding selectors xcor-vect and ycor-vect . In terms of your selectors and constructor, implement procedures add-vect , sub-vect , and scale-vect that perform the operations vector addition, vector subtraction, and multiplying a vector by a scalar:

(x1, y1) + (x2, y2) = (x1 + x2, y1 + y2)
(x1, y1) − (x2, y2) = (x1 − x2, y1 − y2)
           s·(x, y) = (sx, sy)

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