(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I have three vectors and I need to find the resultant of the three vectors and direction.

2. Relevant equations

*All angles are with the horizontal

Vector 1 = 18 at an angle of 40 degrees (First Quadrant)

Vector 2 = 10 at an angle of 72 degrees (Second Quandrant)

Vector 3 = 22 at an angle of 55 degrees (Third Quadrant)

3. The attempt at a solution

In the X I got: 18cos(40) - 10cos(72) - 22cos(55) = -1.9

In the Y I got: 18sin(40) + 10 sin(72) - 22sin(55) = 3.1

√(-1.9^{2}+ 3.1^{2}) =3.64is the resultant

tan^{-1}(3.1/-1.9) =-58.5 degreesis the direction/angle

I just need confirmation whether this is right or wrong. =)

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# Homework Help: Really easy vector addition.

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