Find a unit vector in the direction of the resultant of vector A=2i-3j+k B=i+j+2k C=3i-2j+4k

Rx = 2+1+3 = 6

Ry = -3 + 1 - 2 = -4
Rz = 1 + 2 + 4 = 7
so
R = 6 i - 4 j + 7 k
|R| = sqrt (36 + 16 + 49) = sqrt (101) = 10 close enough
so
R = 0.6 i - 0.4 j + 0.7 k