# A vector A has a magnitude of 48.0 m and points in a direction 20° below the positive x axis. A second vector, B, has a magnitude of 75 m and points in a direction 60.0° above the positive x axis?

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Using the component method of vector addition, how do you find the magnitude and direction of the vector C=A +B?

Using the component method of vector addition, how do you find the magnitude and direction of the vector C=A +B?

##### 2 Answers

The magnitude of

makes

#### Explanation:

The vector

likewise, the vector

So,

Now, the components of

using

The magnitude of

makes

Magnitude of resultant vector is

#### Explanation:

As vector

Hence the angle between two vectors is

Magnitude of resultant vector is

=

=

Direction wll be given by

=

=

=

But this is w.r.t.