59. A vector from the origin to terminal point (2, 3) is shown in the standard (x, y) coordinate plane below. The vector will be rotated counterclockwise (⤺) by 90° about the origin, resulting in a new vector. What will be the coordinates of the terminal point of the new vector ?

Answer and Explanation

Your Answer is

Correct Answer is A

Explanation

After 90° counterclockwise rotation, the lengths of the vector's abscissa and ordinate are interchanged, and because the resulting vector is in the second quadrant, the abscissa is less than zero, and (-3,2) is obtained. Choose A.