Answer:
magnitude = 161.3m, ∅ = 32.9°
Explanation:
Vector addition always works the same. Add two vectors by adding their respective components.
vector A:
vector B:
Adding vector A and B:
The magnitude of any vector is given by the Pythagorean theorem:
In the case of the vector A+B:
The angle ∅ of the vector can by found by using trigonometric functions:
For instance, the angle ∅ for a vector is given by the equation:
The direction ∅ can be found by solving the trigonometric function.
In the example of vector A+B:
Solving for ∅: