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SSC Pure Mathematics QUESTION #11190
Question 1
Which of the following is a scalar?
  • $(\mathbf{a}\cdot\mathbf{b})\mathbf{c}$
  • $\mathbf{a}\cdot(\mathbf{b}\times\mathbf{c})$✔️
  • $\mathbf{a}\times(\mathbf{b}\times\mathbf{c})$
  • $(\mathbf{a}\cdot\mathbf{b})(\mathbf{a}-\mathbf{a})$
Correct Answer Explanation
The scalar triple product $\mathbf{a}\cdot(\mathbf{b}\times\mathbf{c})$ is a scalar — it gives the volume of the parallelepiped formed by the three vectors. Option (A) $(\mathbf{a}\cdot\mathbf{b})\mathbf{c}$ is a vector (scalar times vector); option (C) is a vector triple product (vector); option (D) is zero vector.