Find the magnitude of the sum of these two vectors:
5.00 mA,
30.0°
B4
6.00 m
magnitude (m)​

Approximately .

Explanation:

Decompose each vector into the sum of two vectors: a horizontal one (parallel to the arrow that points to the right) and a vertical one (parallel the arrow that points upwards.)

Vector is horizontal and is at an angle of with the horizon.  

Vector is at an angle of below the horizon.

Calculate the sum of vector and vector .

The horizontal component of vector and vector are opposite to one another. Therefore, the length of the horizontal component of would be the difference between the length of the horizontal components of vector and of vector :

.

The length of the vertical component of vector is . Therefore, the length of the vertical component of would be equal to the length of the vertical component of vector , .

Therefore, the length of the horizontal and vertical component of are approximately and , respectively. The length of vector would be approximately:

.

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