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📐 Mathematics  ·  Vector Algebra  ·  JEE

The cross product i x i equals:

Answer: 0 (zero vector).

  • A 1 (a scalar value)
  • B j (the unit vector)
  • C k (the unit vector)
  • D 0 (zero vector)

Correct answer: D. 0 (zero vector)

Explanation: The cross product of any vector with itself is the zero vector because sin(0) = 0.

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 →