Math  /  Geometry

QuestionSuppose that v=22\|\vec{v}\|=22 and w=6\|\vec{w}\|=6. Suppose also that, when drawn starting at the same point, v\vec{v} and w\vec{w} make an angle of 5π6\frac{5 \pi}{6} radians. (A.) Find w+v\|\vec{w}+\vec{v}\| and round to two decimal places. w+v=\|\vec{w}+\vec{v}\|=\square (B.) Find wv\|\vec{w}-\vec{v}\| and round to two decimal places. wv=\|\vec{w}-\vec{v}\|=\square

Studdy Solution
Calculate the numerical value and round to two decimal places:
wv520+132328.68\|\vec{w}-\vec{v}\| \approx \sqrt{520 + 132\sqrt{3}} \approx 28.68
The solutions are: (A.) w+v18.68\|\vec{w}+\vec{v}\| \approx 18.68 (B.) wv28.68\|\vec{w}-\vec{v}\| \approx 28.68

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