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📐 Mathematics  ·  Vector Algebra  ·  JEE

If a x b = 0 and both a and b are non-zero, then:

Answer: a is parallel to b.

  • A a is perpendicular to b
  • B a is parallel to b
  • C a = b
  • D a = -b

Correct answer: B. a is parallel to b

Explanation: a x b = 0 means sin(theta) = 0, so theta = 0 or 180 degrees. The vectors are parallel (or anti-parallel).

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

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