Answer:
The resultant displacement is, R = 10.1 km
The equilibrant vector acts opposite to the resultant vector.
Step-by-step explanation:
Given data,
The hiker walks south, A = 4.5 km
The distance walked south of west, B = 6.4 km
The angle between two direction, Ф = 45°
The resultant displacement is given by the formula,
R² = A² + B² + 2 AB cosФ
Substituting the values,
R² = 4.5² + 6.4² + 2 x 4.5 x 6.4 cos 45°
= 101.94
R = 10.1 km
Hence, the resultant displacement is, R = 10.1 km
The equilibrant vector acts opposite to the resultant vector.