Two forces of 3 N and 4 N act at right angles to each other. The magnitude of their resultant is

  • A. 1 N
  • B. 5 N
  • C. 7 N
  • D. 12 N

Explanation

For perpendicular vectors the resultant is the square root of (3 squared plus 4 squared), which is the square root of 25, giving 5 N. Adding the magnitudes to get 7 N would only be correct if the forces acted in the same direction, and 1 N is the result if they were exactly opposed. Every answer between 1 N and 7 N is possible depending on the angle.

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