Question 1:
Use the Pythagorean theorem to get the magnitude.
[tex]a^2+b^2=c^2[/tex]
[tex]a=530[/tex]
[tex]b=200[/tex]
[tex]c= \sqrt{530^2+200^2} \approx 566.5 [/tex]
To find the angle, use the tangent.
[tex]angle=tan^{-1}(200/530)[/tex]
[tex]\approx 21[/tex]
Since the vector is between south and west, your answer is the 4th choice.
Question 2:
Add the vectors together.
<-6, 5> + <6, -5>
= <-6+6, -5+5>
= <0,0>
Your answer is the first choice. I hope this helps! :)
