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Scalar Triple Product

Easymathematics

Three vectors , , are coplanar if their scalar triple product is

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About This Question

Subject
mathematics
Chapter
vector algebra
Topic
scalar triple product
Difficulty
Easy
Year
2025
Tags
Vector AlgebraCoplanarityScalar Triple Product

Solution

Correct Answer:

0

  1. Definition of Coplanar: All three vectors lie in the same flat plane.
  2. Volume Interpretation: If vectors are in the same plane, the 'parallelepiped' they form has zero height.
  3. Condition: Therefore, the volume (Scalar Triple Product) must be 0.
  4. Linear Dependence: This also implies that the vectors are linearly dependent.

This easy difficulty mathematics question is from the chapter vector algebra, covering the topic of scalar triple product. It appeared in the 2025 exam.

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