In the sum a→+b→=c→, vector a→ has a magnitude of 13.6 m and is angled 40.2° counterclockwise from the +x direction, and vector c→ has a magnitude of 13.8 m and is angled 20.7° counterclockwise from the -x direction. what are (a) the magnitude and (b) the angle (relative to +x) of b→? state your angle as a positive number.

°

Explanation:

Let's use the component method of vector addition:

Now, we know:

So:

Now lets calculate the magnitude of the vector B:

Finally its angle is given by:

°

Keep in mind that I added 180 to the angles of C and B to find the real angles measured from the + x axis counter-clock wise.

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