Cross Product Intuition | Dot Cross Convention | Torque Meaning | Into and Out of Page

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What on Earth is a cross product?!?!?

That's the question we answer in this video.

This video discusses what a cross product is: a vector operation that multiplies two vectors to return a third vector perpendicular to the first two. The video also introduces the basic formula for the magnitude of the cross product (the full vector formula of the cross product will be covered in another video). Finally, the video demonstrates a use of cross products through torques -- which are something like a rotational force.

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Intro Music: Cattle by Delicate Steve (YouTube Audio Library)

Intro Maxwell’s Equations Image: LPP Fusion Physics, Foundations, Electromagnetism, Maxwell’s Equations

Outro Music: Kurt by Cheel (YouTube Audio Library)

Outro Maxwell Image:

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I have made an error in the video!

Around 9:27, I start discussing an “interesting case” of the cross product and I say it is 0 because the force was applied directly at the center and r=0. This is not true! Indeed, the cross product in this case (ie the torque) is 0, but this is not because r=0 (that would be a case when a force is applied directly at the center of the object – think of a force from above hitting the center). The case presented at 9:27 is instead explained by the same logic as the case presented at 10:34. In the example at 9:27, the r vector should point from the center of the block vertically down to where the force is applied, and it is completely parallel to the Force vector (hence the cross product is 0). In other words, the case at 9:27 and the case at 10:34 are explained by the exact same logic (the logic at 10:34). So sorry about that!

physicspeer

Nicely explained. You brought more clarity to the concept. Looking for more.

explorwthcreativity

Use the computer to facilitate the explanation

kateab_bla_kaleam

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