I have this question: "If vector c forms an obtuse angle with the OY-axis and is orthogonal to both vectors a = 3i + 2j + 2k and b = 18i - 22j - 5k. Find the component of c if it's norm is 14"

This I can gather:

a dot c = 0 (because they are orthogonal)

b dot c = 0 (because they are orthogonal)

a x b = 0 (because both a and b are orthogonal to c, a and b must be paralell)

|a| = sqrt(17)

|b| = 7sqrt(17)

|a x c| = 119

|a x b| 98sqrt(17)

I know from the equation that if the angle is obtuse with the 0Y axis, the Y component must be negative, so I surmise that c = c1 *i - c2 *j + c3*k

Other than that I'm completely lost, I can't figure out how to find the components of vector c