An infinitely long uniform charge of density 30 nC/m is located at y = 3, z = 5. The field intensity at (0, 6, 1) is E = 64.7a_y - 86.3a_z V/m. What is the field intensity at (5, 6, 1)?

A. $$E$$

B. $$\left( {\frac{{{6^2} + {1^2}}}{{{5^2} + {6^2} + {1^2}}}} \right)E$$

C. $${\left( {\frac{{{6^2} + {1^2}}}{{{5^2} + {6^2} + {1^2}}}} \right)^{\frac{1}{2}}}E$$

D. $${\left( {\frac{{{5^2} + {6^2} + {1^2}}}{{{6^2} + {1^2}}}} \right)^{\frac{1}{2}}}E$$

Answer: Option A