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### Question Asked by a Student from EXXAMM.com Team

** Q 2231578422. ** The vector `vec(c)` directed along the bisectors of the angle

between the vectors

`vec(a) = 7 hat(i) - 4hat(j) -4hat(k)` and `vec(b) = -2 hat(i) -hat(j)+2 hat(k)` if `|vec(c) | = 3 sqrt(6)` is given by