Math review for summer help?

Question

Hi there! I'm reviewing math for school, and I stumbled upon a problem I don't understand...

Give an example of nonzero vector that is perpendicular to three numbers (doesn't matter which as long as it's [x, y, z]... if you wanted you could use [1, 2, 3] or something)

Thanks so much!

Answer 1

2 vectors are perpendicular is their dot product is zero.

E.g (-3 0 1) dot (1 2 3) = 0, hence (-3 0 1) is perpendicular to (1 2 3)