Triple Scalar Product: Definition, Formula & Example


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question 1 of 3

If the components of the vector ⃗a = (2,0,0) and the components of the ⃗b vector = (3,2,0), what is ⃗a X ⃗b?

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1. If ⃗a = (2,0) and ⃗b = (3,2), what is ⃗a · ⃗b?

2. If ⃗a = (2,0,0), ⃗b = (3,2,0) and ⃗c = (0,0,5), what is ⃗c · ( ⃗a X ⃗b)?

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About This Quiz & Worksheet

A triple scalar product may look confusing at first, but this combination quiz and worksheet allows you to practice solving these problems step by step.

Quiz & Worksheet Goals

This quiz and worksheet cover the following topics:

  • Solving triple scalar products using the cyclical order
  • Finding the cross product of a triple scalar product
  • Another name for the absolute value of a triple scalar product

Skills Practiced

This quiz and worksheet use the following skills:

  • Reading comprehension - ensure that you draw the most important information from the related lesson on triple scalar products
  • Information recall - access the knowledge you've gained regarding cross products and cyclical order
  • Problem solving - use acquired knowledge to solve triple scalar product practice problems

Additional Learning

To continue studying triple scalar products, review the lesson titled Triple Scalar Product: Definition, Formula & Example. This lesson covers the following objectives:

  • Explain what happens when you take the cross product of two vectors
  • Define dot product and parallelepiped
  • Explore how to use a matrix to simplify triple scalar products