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📐 Mathematics  ·  Vector Algebra  ·  JEE

Two vectors are equal if they have the same:

Answer: Magnitude and direction.

  • A The same starting point in space
  • B The same magnitude but possibly different direction
  • C The same direction but possibly different magnitude
  • D Magnitude and direction

Correct answer: D. Magnitude and direction

Explanation: Two vectors are equal if and only if they have the same magnitude and the same direction.

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 →