Look at the following picture. what would be the resultant vector of a+b? vector b is 4.78m 67 degress vector a 21 degrees 11.3m
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The resultant vector, A+B, has a Magnitude of 15.02 meters and an angle of 34.23 degrees

Step-by-step explanation:

We need to convert the vectors given to x,y coordinate form.

We use the formula below:

Where A is the magnitude and is the angle.

Vector A:

and

Vector B:

and

Now we can write the vectors as:

A = <10.55,4.05>

B = <1.87,4.40>

To add, A+B, we have:

A + B = <10.55+1.87, 4.05+4.40>

A + B = < 12.42, 8.45 >

To convert this into magnitude/degree format:

Magnitude =

Angle =