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.

the minimum amperage that the current in this wire would have to have so that its weight is completely supported by the magnetic force due to earth's field, assuming that no other forces except gravity act on it