Projection of One 3D Vector Onto Another Results in Zero Vector

A brief illustration of the scenario where the projection of a three dimentional vector onto another is zero.

[rickyj]

Ricardo Juarez
I gained an insight into a 3D vector onto another and dot product as a refresher by watching this video. Great video! See you soon

[johnl]

An aspect of the video I found really helpful was showing the vectors on the plane. Orthogonal is sometimes hard to wrap our heads around, but showing the vectors on a 2D plane inside the 3D coordinate system really helped me visualize it. Thank you!
-John Laffey

[anthonymercado]

Great Video Ms. Hearn! By watching this video I gained an insight and better understanding of how a three dimensional vector is projected at zero.

[judniesenatus]

An aspect of this video I like is how you made sure to show us a 3d demonstration of the vector. As a visual learner, this really helped so thank you :)
-Anne-Marie Senatus

[davidillingworth]

An aspect of this video that I liked was when you imposed and rotated the plane. That helped me to clarify and locate much better the two vectors shown.
- David Illingworth

[MarianaGonzalez-jfil]

I gained an insight into perpendicular vectors by watching this video. As a visual learner it help me to better understand the meaning of a product rule equal to zero.
-Mariana Gonzalez

[karinaczubkowski]

An aspect of this video I enjoyed was the visual in Geogebra of the different planes cutting though the vectors. It helped me to visualize the different vectors and the direction they were going.
-Karina Czubkowski

[eduardorondon]

Eduardo Rondon

I gained an insight into how two perpendicular vectors results into a zero vector. For me, I feel like it will be useful to know for the upcoming exam 1. Thank you very much professor!

[zoiepowe]

An aspect of this video that I liked was how you used the 3D graph tool to help show us the two vectors. It helped me to get a better grasp of the topic when I can actually see it.
-Zoie Powe

[AlphonsoKing]

Alphonso King II
I absolutely love the visual aspects of this video. I am a visual learning and enjoy any additional assistance I can get with a math problem. The idea that I found most helpful was at 0:37, showing the work helps me see how the answer came into fruition. I struggled a little on vectors in calculus so I gained a lot of insight on the dot product. It is great to see it determine if the vectors are orthogonal or not. Great video professor.

[courtneydziewior]

I gained an insight into how the dot product can be used to determine if two vectors are orthogonal. Visualizing this in Geogebra was really helpful.
- Courtney Dziewior

[xiaoranchen]

Xiaoran Chen - One idea that I found helpful in this video was that the two vectors that are perpendicular have a dot product of 0 no matter if it is 2d or 3D. An aspect of this video that I liked was that we can see the 3D vector in a 3D xyz coordinate system and their relationships. I gained an insight into 3D graphics by watching this video.

[jadabeck]

An aspect of this video that I liked was seeing a visual representation of how two vectors perpendicular to each other are shown. Seeing it on another plane definitely helped me have a better understanding of why the dot product is zero.

- Jada Beck

[macconsolabe]

I gained an insight into taking the dot as being the test to see if two vectors are orthogonal product by watching this video.

[fnx]

An aspect of this video that I like is the use of different features in GeoGebra, I have heard of this tool but never used it before myself.
- Colin Naehr

[mariobrown]

An aspect of this video that I liked was the use of the GeoGebra and the 3D calculator, it made it easier for those who are visual learners to follow along.


-Mario Brown

[jaleng]

Nice Video. I've taken a physics class before where we talked about vectors but only in 2D. Thanks for explaining that some of the same rules from 2D vector math also applies in 3D and special thanks for showing us GeoGebra.org. I usually use Desmos to test 2D functions from Calc 2 or 1 but GeoGebra will definitely help with all the 3D modeling in Calc 3 -Jalen Guzman

[cincout]

One idea that I found helpful is that the dot product of two orthogonal (perpendicular) vectors is equal to 0, which means I can quickly ascertain this fact by doing the dot product of two vectors rather than having to graph them (though if I wanted to sketch them, this would also make it easier).
- Carrima Hewitt

[omarhayek]

One idea that I found helpful in this video was that the perpendicular vector concept was explained visually.
-Omar Hayek

[chickenman]

Jeffrey Louissaint
One idea that I found helpful in this video was how it picture the problem in 3D space