a group of three students were given the following vectors and asked if there was any relationship among them: vector u = -(pi/2)i - piJ + (pi/2)k and vector v = i + 2J-k.

student 1: "they are parallel"

student 2: "they are perpendicular"

student 3: "there is no relationship"

one of the students is correct. which student is correct? show all of your work for how you know.