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📐 Mathematics  ·  Vector Algebra  ·  JEE

A unit vector perpendicular to both i + j and j + k is:

Answer: (i − j + k)/√3.

  • A (i + j + k)/√3
  • B (i − j + k)/√3
  • C (i − j − k)/√3
  • D (−i + j + k)/√3

Correct answer: B. (i − j + k)/√3

Explanation: (i + j) × (j + k) = i − j + k, whose unit vector is (i − j + k)/√3.

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 →