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.

good looking response

kepler used the data from tycho blahe (his mentor) to construct the laws of planetary motion.