Find the magnitude of the sum
of these two vectors: :
14m
30.0°
60.00
magnitude (m)

Explanation:

Sum of Vectors in the Plane

Given two vectors

They can be expressed in their rectangular components as

The sum of both vectors can be done by adding individually its components

If the vectors are given as a magnitude and an angle , each component can be found as

The first vector has a magnitude of 3.14 m and an angle of 30°, so

The second vector has a magnitude of 2.71 m and an angle of -60°, so

The sum of the vectors is

Finally, we compute the magnitude of the sum