Zaymiey

📐 Mathematics  ·  Vector Algebra  ·  JEE

If a, b, c are mutually perpendicular unit vectors, then |a + b + c| equals:

Answer: √3.

  • A 1
  • B √2
  • C √3
  • D 3

Correct answer: C. √3

Explanation: |a + b + c|² = 1 + 1 + 1 = 3 (cross terms vanish), so the magnitude is √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 →