i know that the definition of a unit vector is one such that if you square all the vectors, add them together, and take the square root, you get 1.

i also know that in order for a vector to be perpendicular to another, the dot product of the two vectors has to equal 0.

however, i am having trouble finding a unit vector that is perpendicular to the vector (1, -2, 3) so any help would be appreciated!