If a vector 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) cannot be determined without additional information

Question

If a vector 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) cannot be determined without additional information

Quizplus · Accepted Answer

We know that A_x > 0 and A_y > 0. Let's consider the vector to be in the first quadrant, where both x and y components are positive. In this quadrant, the angle that the vector makes with the positive x-axis is between 0° to 90°. Therefore, the correct answer is A) 0° to 90°.

If a Vector Has Components Ax > 0, and Ay

If a Vector Has Components A_x > 0, and A_y