A vector ( A ) has a fixed magnitude (A ) and makes an angle ( ) with the positive x-axis

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

A vector A\mathbf{A} has a fixed magnitude AA and makes an angle θ\theta with the positive x-axis, where 0∘<θ<90∘0^{\circ}<\theta<90^{\circ}. Which of the following best describes how its perpendicular components AxA_x and AyA_y change as θ\theta increases within this range? (a) AxA_x increases while AyA_y decreases (b) Both AxA_x and AyA_y decrease (c) AxA_x decreases while AyA_y increases (d) Both AxA_x and AyA_y increase

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