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19 April, 08:03

A vector has an x-component of - 3.09m and a y-component of 187. Find the magnitude and direction of the vector.

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Answers (2)
  1. 19 April, 09:58
    0
    What are three ways synthetic
  2. 19 April, 10:24
    0
    187 meters, 90.9 degrees

    Explanation:

    vx = - 3.09 m

    vy = 187 m

    Use Pythagorean theorem to find the magnitude:

    v² = vx² + vy²

    v² = (-3.09) ² + 187²

    v² = 9.55 + 34969

    v² = 34978.55

    v = 187 meters

    Use trigonometry to find the angle:

    θ = atan (vy / vx)

    θ = atan (187 / - 3.09)

    θ = - 89.1°, 90.9°

    Since θ is in the second quadrant, θ = 90.9°.
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