Respuesta :

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! :)

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