Find the Triple Scalar Product $\mathbf { u } \cdot ( \mathbf { v } \times \mathbf { w } )$

question 10

Multiple Choice

Find the triple scalar product $\mathbf { u } \cdot ( \mathbf { v } \times \mathbf { w } )$ for the vectors $\mathbf { u } = - \mathbf { i } + 2 \mathbf { j } + \mathbf { k } , \mathbf { v } = 7 \mathbf { i } + 8 \mathbf { j } + 3 \mathbf { k } , \mathbf { w } = 4 \mathbf { i } + 7 \mathbf { j } - 3 \mathbf { k }$

• A) 75
• B) 128
• C) \(- 128\)
• D) \(- 4\)
• E) 0

---

Definitions:

Respondeat Superior

Latin for “let the superior speak”; the principle by which liability for harm caused by an agent/employee is held by the principal/employer.

Pierce the Corporate Veil

A legal concept where the courts set aside limited liability afforded by the corporation status to hold the shareholders personally liable for the corporation's debts and obligations.

Statutory Mandates

Legal requirements or orders enacted by a legislative body that must be followed by entities or individuals subject to its jurisdiction.

Corporate Business

An organization engaged in commercial, industrial, or professional activities, structured as a corporation providing limited liability to its owners.