Vector has a magnitude of 6.0 m and points 30° north of east. Vector has a magnitude of 4.0 m and points 30° east of north. The resultant vector + is given by

The resultant vector is .

Explanation:

First, each vector is determined in terms of absolute coordinates:

6-meter vector with direction: 30º north of east.

4-meter vector with direction: 30º east of north.

The resultant vector is obtaining by sum of components:

The resultant vector is .

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