Vector u has an initial point at (−5, 2) and a terminal point at (−7, 9). Which of the following represents u in trigonometric form?

u = 7.28(cos 74.055°i + sin 74.055j)

u = 7.28(cos 105.945°i + sin 105.945°j)

u = 7.28(sin 74.055°i + cos 74.055°j)

u = 7.28(sin 105.945°i + cos 105.945°j)

u = 7.28(cos 74.055°i + sin 74.055j)

u = 7.28(cos 105.945°i + sin 105.945°j)

u = 7.28(sin 74.055°i + cos 74.055°j)

u = 7.28(sin 105.945°i + cos 105.945°j)

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The

vectorbetween (-5, 2) and (-7, 9) represented intrigonometricformis described by the expression 7.280 · (cos 105.945° i + sin 105.945° j).## How to determine a vector in polar form

Let be a

vectorinrectangularform, that is, avectorof theform. A(x, y)vectorinpolar(trigonometric)formis defined by the following expression:(r, θ)And the

magnitude() andrdirectionof the vector (), in degrees, are, respectively:θ## Magnitude

(1)## Direction

And the vector in rectangular form is described below:

(x,y) = (-7, 9) - (-5, 2)(x,y) = (-2, 7)And its polar form is determined below:

r ≈ 7.280θ = tan⁻¹ (-7/2)θ ≈ 105.945°And the

vectorbetween (-5, 2) and (-7, 9) represented intrigonometricformis described by the expression 7.280 · (cos 105.945° i + sin 105.945° j).To learn more on

vectors, we kindly invite to check thisverified question: https://brainacademy.pro/question/13322477