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JEE Mathematics · Medium

Vectors: Scalar triple product MCQ

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Scalar triple productMediumQuestion 260008

Question

If [a⃗, b⃗, c⃗] = 0 (scalar triple product), then a⃗, b⃗, c⃗ are:
  1. A
    Coplanar
    Correct
  2. B
    Collinear
  3. C
    Orthogonal
  4. D
    Equal

Correct answer

Coplanar

Explanation

The scalar triple product a⃗ · (b⃗ × c⃗) represents the volume of the parallelepiped. If it equals 0, the volume is 0, meaning the three vectors are coplanar (lie in the same plane).

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