Vector question

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frog301

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Can someone explain this question to me? Where does the sine angle factor in?
Using 'SOH' Qsin(theta)=R and Q=R/sin(theta)

Not sure how to multiply these vectors and determine the magnitude is perpendicular to Q and R, because I thought magnitude and direction was solved by the sum of the vectors and getting the following:

upload_2018-6-13_17-53-40.png



upload_2018-6-13_17-44-40.png


upload_2018-6-13_17-44-23.png


upload_2018-6-13_17-45-11.png

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