Answer
You must use displacements p, r, and s. There are various sequences that may work, but one example that works is p, then s, then r.
Work Step by Step
p = -7i + 2j - 3k
r = 2i - 3j + 2k
s = 3i +5j - 3k
First, p. (-7cm , 2cm, -3cm)
Then you add s. (-7 + 3, 2 + 5, -3 -3) = (-4cm, 7cm, -6cm).
Finally, add r. (-4 + 2, 7 -3, -6 + 2) = (-2cm, 4cm, -4cm).
You have met the goal of the reaching the point (-2cm, 4cm, -4cm), without ever landing on the points (-5cm, -1cm, -1cm) or (5cm, 2cm, -1cm).
