If a vector $\vec { A }$ has components A_x 0,then the angle that this vector makes with the positive x-axis must be in the range A)0° to 90° B)90° to 180° C)180° to 270° D)270° to 360° E)It cannot be determined without additional information.

Question

If a vector $\vec { A }$ has components A_x < 0,and A_y > 0,then the angle that this vector makes with the positive x-axis must be in the range A)0° to 90° B)90° to 180° C)180° to 270° D)270° to 360° E)It cannot be determined without additional information.

Quizplus · Accepted Answer

Given that the x-component of the vector $\vec { A }$ is negative (A_x < 0) and the y-component is positive (A_y > 0), the vector lies in the second quadrant. In the Cartesian coordinate system, the second quadrant corresponds to angles from 90° to 180°.

If a Vector A⃗\vec { A }A Has Components Ax < 0,and Ay > 0,then the Angle

If a Vector $\vec { A }$ Has Components A_x < 0,and A_y > 0,then the Angle