The position vectors of the vertices A, B, C of a tetrahedron ABCD are î + ĵ + k̂, î and 3î respectively and the altitude from the vertex D to the opposite face ABC meets the face at E. If the volume of tetrahedron is <span class="math-tex">\(\frac {2\sqrt 2} 3\)</span>, then the length of DE is:
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