Given the following vector:
a = i + 2j -2k
Find a possible set of values for y and z such that the unit vector shown below is perpendicular to vector a.
b = (y)j + (z)k
I've tried using both of these rules [ (i) |a x b| = |a||b|sin90 (ii)a.b = 0 ]to form an equation but i can't seem to get an answer.
I suspect it has something to do with matrices also, as this is part of a matrices question.