Final answer:
The position vector for a particle moving on a helix is represented as r(t) = x(t)i + y(t)j + z(t)k, where x(t), y(t), and z(t) are the components of the position vector at a particular time t.
Step-by-step explanation:
The position vector for a particle moving on a helix can be represented in unit vector notation as:
r(t) = x(t)i + y(t)j + z(t)k
where x(t), y(t), and z(t) represent the components of the position vector at a particular time t. In helical motion, as the particle moves along its path, its position vector traces out a helix in three-dimensional space.