Solve the Problem $A$ And Travels Directly North to Point $B$ from Point

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 134 . Find the magnitude of the northern vector. Find the magnitude of the eastern vector.

A) $67 \sqrt { 2 }$ north; $67 \sqrt { 2 }$ east
B) 67 north; $67 \sqrt { 3 }$ east
C) 67 north; 67 east
D) $67 \sqrt { 3 }$ north; 67 east