Three planes, E, F, and G intersect so that each is perpendicular to the other two. A segment AB is positioned so that the length of its projection on the intersection of E and F is 1, on the intersection of F and G is 2, and on the intersection of E and G is 3. What is the length of AB?

A) radical 14

B) 4

C) 5

D) 6

E) radical 12

Three planes, E, F and G, intersect so that each is perpendicular to the other two. A segment AB is positioned so that the

Length of its projection on the intersection of E and F = 1,

Length of its projection on the intersection of F and G = 2

Length of its projection on the intersection of E and G = 3.

Length of AB = √{ (1) ² + (2) ² + (3) ²}=√{1+4+9}=√14

Hence a.