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Cross Product

Reference from the original Physics I textbook.

Cross Product

a→×b→=(|a→||b→|sinθ)uˆ​
uˆ is a unit vector whose direction is determined by the right hand rule.

Assuming a→ and b→ are two-dimensional vectors on the x-y plane:

a→×b→=(ax⋅by-ay⋅bx)kˆ

 

 

 

Related Glossary Terms

Vector↗

Index

Chapter 1 - Vector Math

Chapter 1 - Vector Math

Chapter 1 - For Future Reference - Forces as Vectors

 

Glossary and deeper reading · 2 refreshers

These editorial refreshers supplement the reading. Definitions and examples are added guidance; original source wording and recorded answers remain in their original context.

  • Cross product

    A cross product combines two vectors to form a vector perpendicular to both. Its magnitude depends on both magnitudes and the sine of their included angle, while reversing input order reverses its direction. For example, a force whose line of action passes through the pivot gives zero torque cross product about that pivot.

    Read more: Cross product in detail →

  • Vector

    A vector is a quantity with a magnitude and a direction, represented by an arrow or by components along chosen axes. Vectors add by adding corresponding components rather than simply adding their magnitudes. For example, an eastward displacement followed by a northward displacement produces a resultant pointing northeast. The zero vector has zero magnitude and no unique direction.

    Read more: Vector components and addition →

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