Avector → a has a magnitude of 56.0 m and points in a direction 30.0° below the negative x axis. a second vector, → b , has a magnitude of 82.0 m and points in a direction 49.0° above the negative x axis. using the component method of vector addition, find the magnitude of the vector → c = → a + → b .

Explanation:

To find the components of the vectors we can use:

where is the magnitude of the vector, and θ is the angle over the positive x axis.

The negative x axis is displaced 180 ° over the positive x axis, so, we can take:

Now, we can perform vector addition. Taking two vectors, the vector addition is performed:

So, for our vectors:

To find the magnitude of this vector, we can use the Pythagorean Theorem

And this is the magnitude we are looking for.

ok

explanation: