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

The vector is in the second quadrant where the x-component is negative and the y-component is positive, corresponding to angles between 90° and 180°.

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

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