1. A Mathematical Approach
Vector Analysis
A Mathematical Approach

2. Vector Components V Vy Vx 
Soh Cah Toa

3. (-,+) (+,+) (-,-) (+,-) Measure all angles from nearest X axis A B E CD

4. Vector Analysis
Make a rough sketch of all vectors from a common origin.
Measure (convert) all angles from the nearest x-axis.
Calculate all x components using the equation Vx= V Cos 
Apply +/- to each x component using quadrant notation.
Sum up all x components.

5. Vector Analysis
Measure (determine) all angles from the nearest x-axis.
Calculate all y components using the equation Vy = V sin  .
Apply +/- to each y component using quadrant notation.
Sum up all y components.

6. Vector Analysis
Calculate the resultant vector using the Pythagorean Theorem VR= Vx2 + Vy2]1/2
Calculate the resultant angle using the tangent function R= tan-1 (Vy /Vx)

7. Vector Analysis TemplateVx Vy A
____Cos ____ +/ ____Sin _____ +/- B
____Cos ____ +/ ____Sin _____ +/- C
____Cos ____ +/ ____Sin _____ +/- D
____Cos ____ +/ ____Sin _____ +/- E
____Cos ____ +/ ____Sin _____ +/- V
Ax+Bx+Cx+Dx+Ex Ay+By+Cy+Dy+Ey

8. Resultant Vector Calculation
Vx R
VR= Vx2 + Vy2]1/2
Vy VR
R= tan-1 (Vy /Vx)

9. Vector Analysis Conclusion
Do a rough sketch from a common axis.
Be sure calculator is set in deg. mode.
Be sure to use degrees from nearest x-axis.
Be sure to check +/- designations before summation step.
Report your answer using proper notation eg m at 43o Nof E.