The x component of vector $\vec { A }$ is 5.3 units,and its y component is -2.3 units.The angle that vector $\vec { A }$ makes with the +x-axis is closest to
A)340°
B)160°
C)250°
D)110°
E)23°

Question

Quizplus · Accepted Answer

The angle $\theta$ that vector $\vec{A}$ makes with the +x-axis can be found using the tangent function: $\tan(\theta) = \frac{y}{x}$. Here, $x = 5.3$ and $y = -2.3$, so $\tan(\theta) = \frac{-2.3}{5.3}$. Calculating the arctan of this ratio gives an angle in the fourth quadrant, since the x-component is positive and the y-component is negative. The angle measured from the +x-axis to the vector in standard position is closest to 340°.

The X Component of Vector A⃗\vec { A }A Is 53 Units,and Its Y Component Is -2

The X Component of Vector $\vec { A }$ Is 53 Units,and Its Y Component Is -2