Solve the Problem $70 \sqrt { 2 }$ North; $70 \sqrt { 2 }$

Multiple Choice

Solve the problem.
-A ship leaves point A and travels directly north to point B. From point B, the ship then travels due east to point C. The magnitude of the vector from point A to point C is 140. Find the magnitude of
The northern vector. Find the magnitude of the eastern vector.

A) $70 \sqrt { 2 }$ north; $70 \sqrt { 2 }$ east
B) 70 north; $70 \sqrt { 3 }$ east
C) $70 \sqrt { 3 }$ north; 70 east
D) 70 north; 70 east