Read the dimensions correctly in order to find the forces

[joker2014]

It statics, I am having difficulty on getting perfect to read the dimensions correctly in order to find the forces!

This photo for example

I put B = (-3i,-2j, -6k) but correct answer is (3i,-2j,-6k) ... why 3i but not 3i ?! I'm reeally confused

For C I put -1i but correct answer is 3i !.. how?!?

for D I added the 1 and 2 and i put -3i , and I put -3j but correct is 3j ...

can anyone explain and give me easier way to approach the answer and avoid mistakes?! I have an exam on friday and this is basic thing that i can't seem to understand!

 

[RUber]

For B, your positive x is coming toward you. Use the right-hand rule to keep your positive directions straight.
C looks like it is at -3i -1j .
D looks like it is at -2i and 3j.
Your i components need to find references on the x axis. Your j components need references on the y axis.

 

[joker2014]

I don't get it

 

[RUber]

Look at C. The left-right line above it says that it is 1ft left of the x-axis. That means the y-component is -1.
The long line going through C crosses the segments marked 1ft and 2ft by D. This means that C is 3ft behind the y-axis, or the x component is -3.
Does that help?

 

[joker2014]

I understand now after doing 99999 researches and watching 9999 videos... and easier and simple is to take AB for example, find points A and B, then subtract A-B and BINGO!