Show that 𝐴 = −6𝑖+9𝑗−12𝑘 and 𝐵  = 2𝑖−3𝑗−4𝑘 are parallel to each other.

Dear Student

A and B are not parallel each other. Because $\overrightarrow{A}\times \overrightarrow{B}$ is not equal to zero.

Regards
Manoj Singh