For the vector below, $\theta$represents the acute angle formed by the vector and the x-axis. Write the vector in i, j form. Round to the nearest tenth. v in QIV, |v| = 29, $\theta$= 80°
A) v = 28.6i + 5j
B) v = 28.6i - 5j
C) v = 5i + 28.6j
D) v = 5i - 28.6j

Question

Quizplus · Accepted Answer

In the fourth quadrant (QIV), the x-component is positive and the y-component is negative. Using the magnitude and angle, the vector components are calculated as $v_x = 29 \cos(80^\circ)$ and $v_y = -29 \sin(80^\circ)$, which rounds to $5i - 28.6j$.

For the Vector Below θ\thetaθ Represents the Acute Angle Formed by the Vector and the by the Vector

For the Vector Below $\theta$ Represents the Acute Angle Formed by the Vector and the by the Vector