Answer:
The magnitude of the resultant is approximately 5.391 units.
Explanation:
We notice that vectors have the following characteristics: A magnitude and direction. That is:
Where:
- Magnitude, dimensionless.
- Direction, measured in radians.
This expression can be rearranged as:
Where:
If we know a set of vectors of the form , the resultant vector () is the vectorial sum of every vector in the set:
If we know that , , and , the resultant vector is:
And lastly, we obtain the magnitude of the resultant by Pythagoras' Theorem:
The magnitude of the resultant is approximately 5.391 units.