3.3 Vector Addition and Subtraction: Analytical Methods NF

• The three vectors form a right triangle, making the equation ax + ay = a (ONLY FOR VECTOR QUANTITIES AND NOT MAGNITUDE ALONE, DONT APPLY TO SOLVING)

  
• If vector A is known, its magnitude A (length) and angle 0 (direction) are known
• To find Ax and Ay, use Ax = A cos 0, and Ay = A sin 0

  
• If the perpendicular components Ax and Ay of a vector A are known, then A can be found analytically.
• Finding A and direction 0 from perpendicular components:

  Basically the pythagereon Theorem:

  $A=$$√ Ax^2+$$Ay^2$

  $θ=$$tan^-1(Ay/Ax).$
• If A and B represent two legs of a walk (two displacements), then R is the total displacement.