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📐 Mathematics  ·  Vector Algebra  ·  JEE

The volume of the parallelepiped with edges i + j, j + k and k + i is:

Answer: 2.

  • A 1
  • B 2
  • C 3
  • D 0

Correct answer: B. 2

Explanation: The scalar triple product equals the determinant, which is 2.

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 →