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how long is the given vector to begin with?

we just have the direction and the length of the required vector

thats all we need, and some knowledge about what a unit vector is spose to be ....

thats correct :) except maybe check you length again

and use the length 1 multiply to the unit vector to get what we need, is it right?

sqrt(8) = 2sqrt(2)

ugh ... 4+1+4 = 9 so sqrt(9) = 3

yeah, you are right, my bad. thanks a lot

divide all the vector parts by 3 :)