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📐 Mathematics  ·  Vector Algebra  ·  JEE

If a . b = 0 and neither a nor b is zero, then a and b are:

Answer: Perpendicular.

  • A Parallel
  • B Perpendicular
  • C Equal
  • D Anti-parallel

Correct answer: B. Perpendicular

Explanation: a.b = |a||b|cos(theta) = 0 implies cos(theta) = 0, so theta = 90 degrees. The vectors are perpendicular.

xya (4,1)b (2,3)a + b (6,4)

Triangle law of vector addition: placing vector b at the head of vector a, the diagonal from the start to the final head gives the resultant a + b.

Concept context

Vectors, dot product, cross product, and geometric applications

Read the full Vector Algebra notes →