 1
 0
 Homework Statement

Write out the vectors A+B and AB in terms of the unit vectors i and j. Show them on your coordinate system.
Use the RightHandRule to determine the direction of the following:
Determine Speed and Direction with respect to the Earth.
 Homework Equations

[(A)^2 + (B)^2]
ArcTan = (Y/X)
ixj, ixk, jxk, ixi
I'm stuck on a few Vector homework problems. I don't quite understand how to write vectors A+B and AB for questions 1b and 2b. I tried starting with calculating the magnitude for vector A+B on question 1b and then followed by finding theta, but I'm not sure if that's what I'm supposed to do.
I'm also completely flabbergasted by problem 4 where I'm supposed to use the RightHandRule to the direction of vectors such as i x i, how am I supposed to determine the direction if the vectors have no values?
Lastly, I'm pretty lost with question 5. I thought I did 5a correctly, but the part that asks "with respect to the Earth" makes me feel uneasy. I don't understand how to calculate something with respect to the Earth, I just tried calculating the barge in comparison to the river speed the best that I could.
Sorry, this is my first week in Physics and I'm feeling pretty lost, any help would be greatly appreciated, here's a pic of the worksheet and my work so far, thank you for your time:
I'm also completely flabbergasted by problem 4 where I'm supposed to use the RightHandRule to the direction of vectors such as i x i, how am I supposed to determine the direction if the vectors have no values?
Lastly, I'm pretty lost with question 5. I thought I did 5a correctly, but the part that asks "with respect to the Earth" makes me feel uneasy. I don't understand how to calculate something with respect to the Earth, I just tried calculating the barge in comparison to the river speed the best that I could.
Sorry, this is my first week in Physics and I'm feeling pretty lost, any help would be greatly appreciated, here's a pic of the worksheet and my work so far, thank you for your time: