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The x and y components of a displacement vector are – 3.00mand +4.00m, respectively. What angle
does this vector make with the positive x-axis?
Most Upvoted Answer
The x and y components of a displacement vector are – 3.00mand +4.00m,...
Calculation of Angle of Displacement Vector



  • Let x = -3.00 m (the x-component of the displacement vector)

  • Let y = 4.00 m (the y-component of the displacement vector)

  • The angle that the displacement vector makes with the positive x-axis can be found using the arctan function.

  • θ = arctan(y/x)

  • θ = arctan(4.00 m / -3.00 m)

  • θ = -53.1°



Explanation


The angle of the displacement vector can be calculated using trigonometry. The arctan function is used because it gives the angle of a right triangle when given the ratio of the opposite side to the adjacent side. In this case, the opposite side is the y-component of the displacement vector and the adjacent side is the x-component of the displacement vector. The negative sign in the answer indicates that the vector makes an angle of 53.1 degrees below the negative x-axis.
Community Answer
The x and y components of a displacement vector are – 3.00mand +4.00m,...
Ø = tan-¹(y-component/ x-component)

= tan-¹(4/-3)

= π-tan-¹(4/3)
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The x and y components of a displacement vector are – 3.00mand +4.00m, respectively. What angledoes this vector make with the positive x-axis?
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