AP Physics C - Cross Product

A brief introduction to the cross product (aka vector product) for introductory calculus-based physics courses.
For more information, please visit APlusPhysics.com.
You can also check out the new AP Physics C Companion: Mechanics, a guide book designed to assist in your studies of AP Physics C: Mechanics. Both black-and-white and full-color versions available from Amazon.com: amzn.to/2vPCvB3

[@bradleyknockel7982]

Two minor corrections...
(1) In the very beginning, you say that the dot product gives you a "magnitude only". This cannot always be true because vector magnitudes are always positive.
(2) Shortly after, your drawn 3D coordinate axes are not right handed: en.wikipedia.org/wiki/Right-hand_rule#Coordinates . In a left-handed coordinate system using the formulas in your video, the cross product's direction is given by the left-hand rule.

[@andrewchang7194]

you can also cross out the row and column of the respective direction (I hat, j hat, k hat, etc.) and do (top left × bottom right) - (top right × bottom left) of whatever is remaining. that is for 3×3 matrices of course. appreciate your videos

[@TanmaySoniTV]

Thanks man, that was helpful

[@ivana3490]

You deserve more views! great video!

[@DanFullerton]

Thanks!

[@craiglistly8210]

thank you very good explanation, much appreciated

[@DanFullerton]

My pleasure!

[@edmund3504]

does the AP Physics C exam prefer unit vector notation or vector component notation? or do they use them equally?

[@shifengchen527]

Any recommended textbook for AP physics C mechanics?

[@jackysub1941]

does AP Physics C require the calculation of a cross product?

[@DanFullerton]

Yes

[@muddycalendar3292]

Dan Fullerton when is this helpful on the test

[@ryanpark2005]

At 8:03, how did you get sin90?

[@DanFullerton]

We know the angle is 90 degrees because we're looking for something perpendicular to both A and B. Perpendicular implies the angle is 90.