For what values of t are u = ti - j + k and v = ti + tj - 2k perpendicular? Are

Question

For what values of t are u = ti - j + k and v = ti + tj - 2k perpendicular? Are there values of t for which u and v are parallel? Show all steps and Chose the correct answer.
a. u and v are parallel for t=1 and u and v are perpendicular for t = -1.
b. u and v are perpendicular for t = -2 or t = 1. There are no values of t for which u and v are parallel
c. There are no values of t for which u and v are perpendicular. u and v are parallel for t = 2 or t = -1.
d. There are no values of t for which u and v are perpendicular. u and v are parallel for t = -2 or t = 1
e. u and v are perpendicular for t = 2 or t = -1. There are no values of t for which u and v are parallel.

Explanation / Answer

u.v = 0 for perpendicular t^2- t -2 = 0 t ^2 -2t + t -2 t = 2 or -1 b. u and v are perpendicular for t = -2 or t = 1. There are no values of t for which u and v are parallel

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