Determine the resultant of the given vectors by component method. E = 23 km , 11 degrees N of E N = 25 km, 24 degrees E of N G = 19 km, 18 degrees S of W R = 27 km, 58 degrees W of N.

The resultant of the given vectors by component method is .

Step-by-step explanation:

First we define each vector by applying using rectangular form:

1) , 11º north of east.

(Eq. 1)

2) , 24º east of north.

(Eq. 2)

3) , 18º south of west.

(Eq. 3)

4) , 58º west of north.

(Eq. 4)

The resultant of given vectors is determined by vector sum, that is:

(Eq. 5)

The resultant of the given vectors by component method is .

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