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JAMB Physics 2006 Question 14

Question 14

Scalars and Vectors

The component of vector X along the direction of vector Y is zero when

  1. A.X is at an angle of 45° to Y.
  2. B.X and Y are in opposite directions to each other.
  3. C.X and Y are parallel to each other.
  4. D.X is perpendicular to Y.
Show the answer and explanation

Answer: D (X is perpendicular to Y.)

Explanation

The component of X along Y is X cos θ. This is zero when cos θ = 0, that is θ = 90°, so X must be perpendicular to Y.