Home › MCQs › Mechanical Engineering › Question #2544
Back to Questions
Mechanical Engineering QUESTION #2544
Question 1
The magnitude of the cross product \(\mathbf{A}\times\mathbf{B}\) equals:
  • The area of the triangle formed by \(\mathbf{A}\) and \(\mathbf{B}\)
  • The area of the parallelogram formed by \(\mathbf{A}\) and \(\mathbf{B}\)✔️
  • The volume of the parallelepiped formed by \(\mathbf{A}\) and \(\mathbf{B}\)
  • The scalar projection of \(\mathbf{A}\) onto \(\mathbf{B}\)
Correct Answer Explanation
By definition, \(|\mathbf{A}\times\mathbf{B}|=|A||B|\sin\theta\), which equals the area of the parallelogram spanned by the two vectors. The area of the triangle is half this value.