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)

Tutors, please sign in to answer this question.

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**

- Physics 2181
- Science 757
- Pendulums 7
- Math 9851
- Forces And Motion 22
- Friction 18
- Physicis 5
- Gravity 16
- Mathmatics 74
- Mass 68