Vector A⃗ points in the negative x direction. Vector B⃗ points at an angle of 30.0∘ above the positive x axis. Vector C⃗ has a magnitude of 19m and points in a direction 37.0∘ below the positive x axis.

Given that A⃗ +B⃗ +C⃗ =0, find the magnitudes of A⃗ and B⃗ .

Question

Vector A⃗  points in the negative x direction. Vector B⃗  points at an angle of 30.0∘ above the positive x axis. Vector C⃗  has a magnitude of 19m and points in a direction 37.0∘ below the positive x axis.

Given that A⃗ +B⃗ +C⃗ =0, find the magnitudes of A⃗  and B⃗ .

theeric · Answer

Okay! Did you start by drawing a picture? A picture is worth 1,000 words, or so!

summersnow8 · Answer

no I dont even know where to begin

theeric · Answer

Alright, I'll tell you! The $x$-axis. Let's draw it horizontal, like normal.

summersnow8 · Answer

I actually lost track of time and have to go to work..... can we work on this later?

theeric · Answer

|dw:1373400649185:dw|Yeah, I might be on later! I'll see if you reply to the question, so do that when you get back!

theeric · Answer

Good luck at work!

summersnow8 · Answer

:/ thanks

theeric · Answer

When might you be back?

theeric · Answer

I started drawing it, so here's the rest.

You have an axis, which is just a line you use as a reference.

$\overrightarrow B$ is $30.0^{\circ}$| above the $x$-axis, and $\overrightarrow C$ is $37.0 ^{\circ}$ below. I chose the "above" and "below" directions when I drew it. I made it make sense.

It also gives you the "magnitude" of $\overrightarrow C$, which I put in the picture. I will explain thiswhen you get back, if you need!

Vectors are directions with magnitudes. Where they are drawn isn't important. I chose to draw them all at the same point. It's easy for me, and pretty common!
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