Question

What is the coordinate notation of the vector <-6,2>?

A) (X,Y) → (x+6, y-2)
B) (X,Y) → (x-6, y+2)
C) (X,Y) → (x+2, y-6)
D) (X,Y) → (x-2, y+6)

Answer 1

The correct coordinate notation for the vector <-6,2> is (X,Y) → (x-6, y+2), which corresponds to Option B.

Step-by-step explanation:

The coordinate notation of the vector <-6,2> represents a movement of 6 units to the left and 2 units up in the coordinate system. When we apply this vector to any point (X, Y), we are essentially moving that point 6 units to the left, which is subtracting 6 from the x-coordinate, and 2 units up, which is adding 2 to the y-coordinate. Therefore, the correct notation that transforms any point (X, Y) by this vector is (X,Y) → (x-6, y+2). Hence, the answer is Option B) (X,Y) → (x-6, y+2).