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📐 Mathematics  ·  Vector Algebra  ·  JEE

The projection of a = 2i + 3j + 2k on b = i + 2j + k is:

Answer: 10/√6.

  • A 10/√6
  • B 10/6
  • C √6
  • D 5/√6

Correct answer: A. 10/√6

Explanation: Projection = (a·b)/|b| = (2 + 6 + 2)/√6 = 10/√6.

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 →