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Physics Lesson 2.5.6 - Mixed product of vectors

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Welcome to our Physics lesson on Mixed product of vectors, this is the sixth lesson of our suite of physics lessons covering the topic of Vector Product of Two Vectors, you can find links to the other lessons within this tutorial and access additional physics learning resources below this lesson.

Mixed product of vectors

As we discussed in the previous example, we may have to multiply the cross product of two vectors with a scalar. The result is still a vector as the cross product gives a vector and the product of a vector by a scalar gives a vector as well.

Another rule for finding the direction of the cross product vector

In the cross product

c = a × b

we can apply the "right hand rule" to find the direction of the vector product c when the directions of a and b are known. Thus, if we put the index and middle fingers of the right hand as shown in the figure,

Physics Tutorials: This image shows a wire being rotated within a horseshoe magnet to illustrate vector calculation of magnetic induction

we obtain the direction of vector

c = a × b

based on the drill (screwdriver) rule. The thumb shows the direction of the product vector.

You have reach the end of Physics lesson 2.5.6 Mixed product of vectors. There are 6 lessons in this physics tutorial covering Vector Product of Two Vectors, you can access all the lessons from this tutorial below.

More Vector Product of Two Vectors Lessons and Learning Resources

Vectors and Scalars Learning Material
Tutorial IDPhysics Tutorial TitleTutorialVideo
Tutorial
Revision
Notes
Revision
Questions
2.5Vector Product of Two Vectors
Lesson IDPhysics Lesson TitleLessonVideo
Lesson
2.5.1The meaning of cross product of vectors multiplication
2.5.2How to calculate the cross product of two vectors?
2.5.3What is the direction of the vector product obtained by the cross product of two vectors?
2.5.4Cross product of vectors in coordinates
2.5.5Applications of cross product in Physics
2.5.6Mixed product of vectors

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