How do you add and subtract vectors?
1. 100 @ 60o + 40 @ 30o.
X = Hor. = 100*cos60 + 40*cos30 = 84.64
Y = Ver. = 100*sin60 + 40*sin30 = 106.6.
tanA = Y/X = 106.6 / 84.64 = 1.25948
A = 51.55o. = Direction.
R = X/cosA = 84.64 / cos51.55 = 136 =
Resultant or Magnitude.
2. 100 @ 60o - 40 @ 30o.
X = Hor. = 100*cos60 - 40*cos30 = 15.36.
Y = Ver. = 100*sin60 - 40*sin30 = 66.60.
tanA = Y/X = 66.60 / 15.36 = 4.33610.
A = 77.0o = Direction.
R = X/cosA = 15.36 / cos77 = 68.35. =
Resultant or Magnitude.