The rigid bent rod $ABCD$ has ball-and-socket joints at $A$ and $D$. The rod is rotated about a line joining points $A$ and $D$ with a constant angular velocity of $75$ $rad/s$. Knowing that at the instant considered the velocity of corner $C$ is roughly upward, what is the acceleration of corner $B$?

A. $(60i + 36j + 27k)$ $m/s^2$
B. $(-60i - 36j - 27k)$ $m/s^2$
C. $(-40i - 32j -24k)$ $m/s^2$
D. $(40i + 32j +24k)$ $m/s^2$
E. $(405i + 432j +324k)$ $m/s^2$
F. $(-405i - 432j - 324k)$ $m/s^2$