A displacement vector is 23 km in length and directed 65° south of east. What are the components of this vector? Eastward Component Southward Component
A)21 km 9.7 km
B)23 km 23 km
C)23 km 0 km
D)9.7 km 21 km
E)0 km 23 km

Question

Quizplus · Accepted Answer

The eastward component can be found using cosine function. 
Eastward component = 23 km × cos 65° = 9.7 km
The southward component can be found using sine function. 
Southward component = 23 km × sin 65° = 21 km
Therefore, the answer is D) 9.7 km and 21 km.

A Displacement Vector Is 23 Km in Length and Directed