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📐 Mathematics  ·  Vector Algebra  ·  JEE

The value of λ for which 2i + λj + k is perpendicular to i − 2j + 3k is:

Answer: 5/2.

  • A 2
  • B 5/2
  • C −5/2
  • D 5

Correct answer: B. 5/2

Explanation: Dot product = 2 − 2λ + 3 = 0 gives λ = 5/2.

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 →