Physics
posted by Fabricus .
1. Consider four vectors ~F1, ~F2, ~F3, and ~F4, where their magnitudes are F1= 57 N, F2= 38 N, F3= 25 N, and F4= 67 N. Let θ1= 130◦, θ2=−130◦, θ3= 29◦, and θ4=−64◦, measured from the positive x axis
with the counterclockwise angular direction as positive. What is the magnitude of the resultant vector ~F, where ~F=~F1+~F2+~F3+~F4?
Answer in units of N.
2.What is the direction of this resultant vector ~F?
Note:
Give the angle in degrees, use counterclockwise as the positive angular direction, between the limits of −180◦ and +180◦ from the positive x axis.
Answer in units of◦

I showed you how to get the magnitude. Scroll down.
tan theta = sumy/sumx
Respond to this Question
Similar Questions

Physics
Consider three force vectors ~ F1, ~ F2, and ~ F3. 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 … 
PreCalculus
Let F1 = 219.5, F2 = 447.3, θ1 = 52.79◦, θ2 = 7.831◦. Find the magnitude of the resultant F1 _\_ θ1 (in quadrant 3 positive)  F2 _/_ θ2 (in quadrant 1 positive)  I know this is probably hard to understand … 
Physics
Consider two vectors F~ 1 with magnitude 44 N inclined at 163 ◦ and F~ 2 with magnitude 72 N inclined at 236 ◦ , measured from the positive x axis with counterclockwise positive. What is the magnitude of the resultant vector … 
physics
A narrow ray of yellow light from glowing sodium (λ 0 = 589 nm) traveling in air strikes a smooth surface of water at an angle θi = 16.5◦ . Find the angle of refraction, θr. Answer in units of ◦ 
Complex angles
There are four complex fourth roots to the number 4−43√i. These can be expressed in polar form as z1=r1(cosθ1+isinθ1) z2=r2(cosθ2+isinθ2) z3=r3(cosθ3+isinθ3) z4=r4(cosθ4+isinθ4), … 
Physics
Consider four vectors ~F1, ~F2, ~F3, and ~F4, where their magnitudes are F1= 57 N, F2= 38 N, F3= 25 N, and F4= 67 N. Let θ1= 130◦, θ2=−130◦, θ3= 29◦, and θ4=−64◦, measured from … 
Physics
A. Given two vectors ~F1, and ~F2. Where the magnitude of these vectors are F1= 81 N, and F2= 90 N. And where θ1= 80◦,and θ2= 22◦. The angles are measure from the positive x axis with the counterclockwise angular … 
physics
Consider two vectors F~ 1 and F~ 2 with magnitude F1 = 61 N and F2 = 63 N and where θ1 = 98 ◦ and θ2 = 50 ◦The angles are measured from the positive x axis with the counterclockwise angular direction as positive. … 
physics
Consider two vectors where F1 = 98 N , F2 = 61N,θ1 = 343◦ ,andθ2 = 68◦ ,measuredfrom the positive x axis with the counterclockwise angular direction as positive. What is the magnitude of the resultant vec tor … 
Physics
What is the direction of this resultant vector (between the limits of −180◦ and +180◦ from the positive xaxis) ?