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📐 Mathematics  ·  Vector Algebra  ·  JEE

If a = 3i + 2j - k, then |2a| =

Answer: 2sqrt(14).

  • A sqrt(14)
  • B 2sqrt(14)
  • C 4sqrt(14)
  • D 14

Correct answer: B. 2sqrt(14)

Explanation: |a| = sqrt(9+4+1) = sqrt(14). |2a| = 2|a| = 2sqrt(14).

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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