Determine a vector that is orthogonal to the vector e = [3, -1, 4]

Answer 1

cos 90 = 0 (orthogonal vectors have 90 in between)

substitute a vector [x1 , x2, x3] for the second vector and use dot product

[3, -1, 4] . [x1, x2, x3] = 0

3x1 - x2 + 4x3 = 0

then solve for xs that would work.
an example would be [1, 3, 0]