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Vector mathematics problem
Yes, as long as two vectors that are not * * lines can be used as a set of bases for all vectors on the plane.

Vector c = vector a-2 vector b

Method: you can set vector c = x vector a+y vector b.

∴(7,-4)=x(3,-2)+y(-2, 1)

Thus the equation is obtained: 3x-2y = 7;; -2x+y=-4

To solve this system of equations, x = 1, y =-2.