Above is the question. So far I have calculated that the orthogonal vectors are
but how do I make a system of linear equations having these vectors as solutions?
I understand how to make a system using only one vector:
x1 = 1
x2 = 2
x3 = 3
x4 = -1
x5 = 2
but I'm unsure how to have both orthogonal vectors as solution to the system.