Verified answer

Component form of any 2D vector is

R cos theta i + R sin theta j

so this one is

8 (-sqrt(2)/2) i + 8 (-sqrt(2)/2) j

= - 4 sqrt(2) i - 4 sqrt(2) j

[Note that 225 is the 45-degree ray in the 3rd quadrant,

that's why you know its sine and cosine without looking them up.]

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