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📐 Mathematics  ·  Vector Algebra  ·  JEE

The magnitude of vector a = 3i + 4j is:

Answer: 5.

  • A 3
  • B 4
  • C 5
  • D 7

Correct answer: C. 5

Explanation: |a| = sqrt(3<sup>2</sup> + 4<sup>2</sup>) = sqrt(9 + 16) = sqrt(25) = 5.

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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