A force, F of 25 N is acting in the direction of a = (6,1).

a) Find a unit vector in the direction of a.

b) Find the Cartesian vector representing the force, f, using your answer from part a)

A force, F of 25 N is acting in the direction of a = (6,1).

a) Find a unit vector in the direction of a.

b) Find the Cartesian vector representing the force, f, using your answer from part a)

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Miami, FL

The unit vector will be: F/¦F¦(magnitude); I suppose that the vector tail is located at the origin. Then the angle that the line oa (direction) makes over x axis (φ) will be tan^{-1
}(1/6) = 9.46 degrees, then cosine φ = 0.9864 and sin φ is= 0.1644. the vector components of the 25N vector are V= 24.66**i** + 4.11**j** and the magnitude of the vector will be √((Vx^2)+(Vy^2)) = √625= 25 Ok!!!!!!!!!!.
The unit vector will be** a**= (24.66/25)**i** + (4.11/25)**j= 0.9864i + 0.1644j**

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