suppose you were given these components of a vector: \\(F_{x} =-1.51457 N , F _{

Question

suppose you were given these components of a vector:

     (F_{x} =-1.51457 N ,   F _{y} = - 0.405828)     

1. what is the magnitude of the vector?

2. based on the sign of the x component and the y component, the vecto points(up,down) and toward the (left, right)

3. I expect the vector to be in the (first, second, third, fourth) quadrant.

4. when i use an equation to the angle of the vector, my calculator reports that the angle is ________ degrees.

5. in this case( should, shouldn't) add 180 degrees to what my calculator displays, which the angle of the vector is ______________ degrees.

Explanation / Answer

1) F = sqrt(Fx^2+Fy^2) = 1.568 N
2) it is in 3rd quadrant(down ,left)
3) third
4) theta = tan^-1(Fy/Fx) = 15 degrees

this is the the angle made by the vector with -x axis

5) with +x axis 180+15 = 195 degrees

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