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📐 Mathematics  ·  Vector Algebra  ·  JEE

The cross product satisfies:

Answer: a x b = -(b x a).

  • A a x b = b x a
  • B a x b = -(b x a)
  • C a x b = 0 always
  • D a x b is a scalar

Correct answer: B. a x b = -(b x a)

Explanation: Cross product is anti-commutative: a x b = -(b x a). Swapping the order reverses 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 →