Find the magnitude and direction for 101m,60.0,85.0m

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 ∅:

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