Use the Parallelogram Rule to Find the Magnitude of the Resultant

Multiple Choice

Use the parallelogram rule to find the magnitude of the resultant force for the two forces shown in the figure. Round to
one decimal place.
-A ship leaves point $A$ and travels directly north to point $B$ . From point $B$ , the ship then travels due east to point $\mathrm { C }$ . The magnitude of the vector from point $\mathrm { A }$ to point $\mathrm { C }$ is 128 . Find the magnitude of the northern vector. Find the magnitude of the eastern vector.

A) $64 \sqrt { 3 }$ north; 64 east
B) $64 \sqrt { 2 }$ north; $64 \sqrt { 2 }$ east
C) 64 north; $64 \sqrt { 3 }$ east
D) 64 north; 64 east