given the vectors A And B , where Ax = -5.5m, Ay = 2.5m , Bx = 4.0m and By = -1.

Question

given the vectors A And B , where Ax = -5.5m, Ay = 2.5m , Bx = 4.0m and By = -1.5m what is the direction(in degrees) of the vectors C =A+B with respect to the positive x-axis given the vectors A And B , where Ax = -5.5m, Ay = 2.5m , Bx = 4.0m and By = -1.5m what is the direction(in degrees) of the vectors C =A+B with respect to the positive x-axis given the vectors A And B , where Ax = -5.5m, Ay = 2.5m , Bx = 4.0m and By = -1.5m what is the direction(in degrees) of the vectors C =A+B with respect to the positive x-axis

Explanation / Answer

C = A + B

Cx = Ax + Bx = -5.5 + 4.0 = -1.5m

Cy = Ay + By = 1m

now let Vector C make an angle theta with x axis

theta = tan-1(Cy/Cx) = 146.3099 degrees with positive x-axis

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