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Applications of the Dot Product (Vectors)

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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= 24.66i + 4.11j 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
The Cartesian vector will be a*25 = 24.66i + 4.11j