Two vectors have magnitudes of 3 unit and 4 unit, respectively. Determine the angle between them if the magnitude of the resultant is 1 unit.

Step-by-step solution

Let the magnitudes of the two vectors be A = 3 and B = 4 , and the magnitude of their resultant be R = 1 . The magnitude of the resultant of two vectors is given by: R^2 = A^2 + B^2 + 2AB Substituting the given values: 1^2 = 3^2 + 4^2 + 2(3)(4) 1 = 9 + 16 + 24 1 = 25 + 24 24 = -24 = -1 = 180^