karinatec8760 karinatec8760
  • 30-09-2017
  • Mathematics
contestada

A vector has components x = −2 m and y = −2 m. what is its direction (angle with respect to east)?

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barnuts
barnuts barnuts
  • 14-10-2017

Since both components are negative, so the vector lies on the 3rd quadrant.

Calculate for angle using tanθ:

tanθ = y / x

θ = tan^-1 (-2 / -2)

θ = 45°

 

Since this is in 3rd quadrant, therefore when reference with respect to east or 1st quadrant, the angle is:

θ = 180 + 45 = 225° from the east (counter clockwise)

θ = 90 + 45 = 135° from the east (clockwise)

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