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Vector A makes an angle of \(30^{\circ}\) with the positive x-axis and has a length of \(20\). Vector B has a length of \(20\) and makes an angle of \(45^{\circ}\) with the positive x-axis. Which of the following is true?
  • A and B have the same direction, but, different magnitudes
  • A and B have the same magnitude and direction
  • A and B have different magnitudes and different directions
  • A and B have the same magnitude, but, different directions