Displacement vector points due east and has a magnitude of 2.8 km. displacement vector points due north and has a magnitude of 2.8 km. displacement vector points due west and has a magnitude of 2.4 km. displacement vector points due south and has a magnitude of 1 km. find the magnitude and direction (relative to due east) of the resultant vector + + + .

The magnitude of resultant vector and direction are 1.843 m and 77.47° east of north.

Explanation:

Given that,

Magnitude of displacement due to east = 2.8 km

Magnitude of displacement due to north = 2.8 km

Magnitude of displacement due to west = 2.4 km

Magnitude of displacement due to south = 1 km

We need to calculate the resultant of the displacement

The magnitude of the resultant vector

We need to calculate the direction

Using formula of direction

Put the value into the formula

Hence, The magnitude of resultant vector and direction are 1.843 m and 77.47° east of north.

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