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📐 Mathematics  ·  Vector Algebra  ·  JEE

Find a.b if a = 2i + 3j - k and b = i - 2j + 4k.

Answer: -8.

  • A 0
  • B -8
  • C 8
  • D -6

Correct answer: B. -8

Explanation: a.b = (2)(1) + (3)(-2) + (-1)(4) = 2 - 6 - 4 = -8.

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 →