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📐 Mathematics  ·  Vector Algebra  ·  JEE

If a = i + j + k and b = i − j + k, the magnitude of a × b is:

Answer: 2√2.

  • A 2
  • B 2√2
  • C √6
  • D 4

Correct answer: B. 2√2

Explanation: a × b = 2i − 2k, whose magnitude is √(4 + 4) = 2√2.

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 →