Key to "The x and y components of a vector..." - Plainmath

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FobelloE

Answered question

2021-02-17

The x and y components of a vector r are

r_{x} = 14

m and

r_{y} = - 95

m respectively. Find the direction and the magnitude of the vector r.

Answer & Explanation

Cristiano Sears

Skilled2021-02-19Added 96 answers

Magnitude of

r = \sqrt{r_{x}^{2} + r_{y}^{2}} = [{(142 + (- 95) 2]}^{\frac{1}{2}} = 96.02 m

Direction Angle

= \tan^{- 1} \frac{r_{y}}{r_{x}} = \tan^{- 1} \frac{- 95}{14} = - 81.61

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