Hiker walks 4.5 km south, then walks 6.4 km at 45 dergrees southbof west what is the resultant replacement and what is the equillibroant

The resultant displacement is,  R = 10.1 km

The equilibrant vector acts opposite to the resultant vector.

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.

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