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natali 33 [55]
2 years ago
12

Type the correct answer in each box. Round your answers to two decimal places. Subtract vector v = <2, -3> from vector u =

<5, 2>. The magnitude of the resulting vector, u – v, is approximately___ , and its angle of direction is approximately___ .
Mathematics
1 answer:
expeople1 [14]2 years ago
3 0

u - v = <5, 2> - <2, - 3> = <5 - 2, 2 + 3> = <3, 5>

given a vector <u, v> then the magnitude is √ (u² + v² ) and it's angle of direction is

θ = tan^{-1}(\frac{v}{u})

thus the magnitude of <3, 5> = √(3² + 5²) = √34 ≈ 5.83 ( to 2 dec. places )

Θ = tan^{-1}(\frac{5}{3}) = 59.04° ( to 2 dec. places )



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