The Initial Point for the Vector Is the Origin, And \theta

Multiple Choice

The initial point for the vector is the origin, and $\theta$ denotes the angle (measured counterclockwise) from the $X$ -axis to the vector. The magnitude of $\mathrm { V }$ is $30$ cm/sec, and $\theta = 120 ^ { \circ }$ Compute the horizontal and vertical components of the given vector. (Round your answers to two decimal places.)

A) $V _ { x } = 25.98$ cm/sec $V _ { y } \approx - 15$ cm/sec
B) $V _ { x } = 15$ cm/sec $V _ { y } \approx 25.98$ cm/sec
C) $V _ { z } = - 15$ cm/sec $V _ { y } \approx 25.98$ cm/sec
D) $V _ { x } = 21.21$ cm/sec $V _ { y } \approx 21.21$ cm/sec
E) $V _ { x } \approx - 25.98 \mathrm {~cm} / \mathrm { sec } V _ { y } \approx 15 \mathrm {~cm} / \mathrm { sec }$