1. The problem statement, all variables and given/known data Find a unit vector that has the same direction as the given vector. 8i - j + 4k 3. The attempt at a solution I got sqrt(81) * (8i - j + 4k). The book has 1/9 * (8i-j+4k). Why exactly is that? ------------ Another question : Find a vector that has the same direction as -2i+4j+2z but has length 6. I think I could find the unit vector by dividing each component by its magnitude, and then multiply it by a scaler number, 6. Can you comment on that?