Answer
orthogonal
Work Step by Step
If a vector $v$ can be obtained by multiplying a vector $w$ by a constant, then $v$ and $w$ are parallel. If the dot product of two vectors is $0$ then they are orthogonal.
$(3i-2j)(4i+6j)=(3)(4)+(-2)(6)=12-12=0$, hence they are orthogonal.