Consider three force vectors ~ F1, ~ F2, and ~ F3.

Question

The vector ~ F1 has magnitude F1 = 86 N and
direction θ1 = 169◦; the vector ~ F2 has magni-
tude F2 = 46 N and direction θ2 = 240◦; and
the vector ~ F3 has magnitude F3 = 45 N and
direction θ3 = 132◦.
All the direction angles θ aremeasured from
the positive x axis: counter-clockwise for θ >
0 and clockwise for θ < 0.
Draw the vectors to scale on a graph to
determine the answer.
What is the magnitude of the resultant vec-
tor k~F k, where ~F = ~ F1 + ~ F2 + ~ F3 ?

^^^ i got 137.89m

now how do i Give the angle in degrees, use coun-
terclockwise as the positive angular direction,
between the limits of −180◦ and +180◦ from
the positive x axis.
What is the direction of this resultant vec-
tor ~F ?

Answer 1

measure the angle counterclockwise from the x axis