Finding vectors needed to cancel out given sets of forces

[aron silvester]

Homework Statement

For this assignment, I am given sets of forces and asked to solve for the force(s) needed to cancel them out. For this case, I am asked to solve for the missing parts of vectors A, B and C. I was only given vector C's Mass and Direction to start with, but I managed to get all of its other information. What I'm having trouble finding is the other information for vectors A and B. I know that since the direction of vector A is 0 degrees, that it's y component is 0. Same logic goes to how I know that the x component of vector B is 0. Also, I just noticed something, why are the x and y component for vector C positive if the direction of the vector is in the third quadrant, 240 degrees?

Homework Equations

It's all in part 3.

The Attempt at a Solution

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[kuruman]

Also, I just noticed something, why are the x and y component for vector C positive if the direction of the vector is in the third quadrant, 240 degrees?

You wrote the components down, so you should be able to answer this question. There is an easy way to look at this problem. You have
Note that $\vec{F}_a+\vec{F}_b+\vec{F}_c=0$ means that $\vec{F}_c=-\vec{F}_a-\vec{F}_b$
Can you do something with this?

 

[aron silvester]

You wrote the components down, so you should be able to answer this question. There is an easy way to look at this problem. You have
Note that $\vec{F}_a+\vec{F}_b+\vec{F}_c=0$ means that $\vec{F}_c=-\vec{F}_a-\vec{F}_b$
Can you do something with this?

I figured it out already. I should have replied to this thread sooner. Thanks!