Answer
No. Figure 27.6b provides an example where the particle’s velocity $\vec{v}$ and the magnetic field $\vec{B}$ are not perpendicular to one another.
Work Step by Step
The magnetic force on a particle is always perpendicular to the particle’s velocity $\vec{v}$ and is always perpendicular to the magnetic field $\vec{B}$.
However, that does not mean that the particle’s velocity $\vec{v}$ and the magnetic field $\vec{B}$ are ALWAYS perpendicular to each other, though they can be, as in Figure 27.6c.
